Keyword Index

A

  • ABS algorithms A generalization of the ABS algorithms and its application to some special real and integer matrix factorizations [Volume 12, Issue 2, 2022, Pages 301-314]
  • Acceleration parameter Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation [Volume 12, Issue 2, 2022, Pages 426-448]
  • Adaptive spline A numerical approach for singular perturbation problems with an interior layer using an adaptive spline [Volume 12, Issue 2, 2022, Pages 355-370]
  • ADMM Modified ADMM algorithm for solving proximal bound formulation of multi-delay optimal control problem with bounded control [Volume 12, Issue 1, 2022, Pages 1-36]
  • Approximation Algorithms Connected bin packing problem on traceable graphs [Volume 12, Issue 1, 2022, Pages 163-171]
  • Asymptotic expansion Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [Volume 12, Issue 1, 2022, Pages 55-72]

B

  • Bernoulli Tau method A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games [Volume 12, Issue 2, 2022, Pages 467-482]
  • Bernstein polynomials Hybrid of Block-pulse and orthonormal Bernstein functions for fractional differential equations [Volume 12, Issue 2, 2022, Pages 315-333]
  • Bézier curve On a class of Bézier-like model for shape-preserving approximation [Volume 12, Issue 2, 2022, Pages 449-466]
  • Bin Packing Problem Connected bin packing problem on traceable graphs [Volume 12, Issue 1, 2022, Pages 163-171]
  • Blending functions On a class of Bézier-like model for shape-preserving approximation [Volume 12, Issue 2, 2022, Pages 449-466]
  • Block Gauss-Seidel over-relaxation method A new iteration method for solving space fractional coupled nonlinear Schrödinger equations [Volume 12, Issue 3 (Special Issue), 2022, Pages 704-718]
  • Block-Pulse Functions Hybrid of Block-pulse and orthonormal Bernstein functions for fractional differential equations [Volume 12, Issue 2, 2022, Pages 315-333]
  • Boundary value problems Differential transform method: A comprehensive review and analysis [Volume 12, Issue 3 (Special Issue), 2022, Pages 629-657]
  • Boundedness On a class of Bézier-like model for shape-preserving approximation [Volume 12, Issue 2, 2022, Pages 449-466]

C

  • Caputo derivative Using Mott polynomials operational matrices to optimize multi-dimensional fractional optimal control problems [Volume 12, Issue 1, 2022, Pages 201-227]
  • Caputo fractional derivative Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 513-532]
  • Caputo fractional derivative Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [Volume 12, Issue 3 (Special Issue), 2022, Pages 585-606]
  • Classical benchmark functions Crocodile Hunting Strategy (CHS): A comparative study using benchmark functions [Volume 12, Issue 2, 2022, Pages 397-425]
  • Compact finite difference method Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [Volume 12, Issue 2, 2022, Pages 277-300]
  • Com-pact finite difference methods Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [Volume 12, Issue 3 (Special Issue), 2022, Pages 585-606]
  • Complexity theory Connected bin packing problem on traceable graphs [Volume 12, Issue 1, 2022, Pages 163-171]
  • Condition number A heuristic algorithm to combat outliers and multicollinearity in regression model analysis [Volume 12, Issue 1, 2022, Pages 173-186]
  • Connectivity Connected bin packing problem on traceable graphs [Volume 12, Issue 1, 2022, Pages 163-171]
  • Constrained engineering design problem Crocodile Hunting Strategy (CHS): A comparative study using benchmark functions [Volume 12, Issue 2, 2022, Pages 397-425]
  • Continuous Runge–Kutta methods Shooting continuous Runge–Kutta method for delay optimal control problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 680-703]
  • Convergence A fourth-order method for solving singularly perturbed boundary value problems using nonpolynomial splines [Volume 12, Issue 2, 2022, Pages 483-497]
  • Convergence A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank–Nicolson method [Volume 12, Issue 3 (Special Issue), 2022, Pages 607-628]
  • Convergence Analysis Numerical approximation for inverse problem of the Ostrovsky–Burgers equation [Volume 12, Issue 1, 2022, Pages 73-109]
  • Convergence Analysis Preconditioned global GPBiCG method for solving saddle point problems with multiple right-hand sides and its convergence analysis [Volume 12, Issue 1, 2022, Pages 111-129]
  • Convergence Analysis A new iteration method for solving space fractional coupled nonlinear Schrödinger equations [Volume 12, Issue 3 (Special Issue), 2022, Pages 704-718]
  • Convergence order Numerical solution of a system of Volterra integral equations in application to the avian human influenza epidemic model [Volume 12, Issue 1, 2022, Pages 37-53]
  • Convergent of method Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [Volume 12, Issue 2, 2022, Pages 277-300]
  • CP decomposition Global and extended global Hessenberg processes for solving Sylvester tensor equation with low-rank right-hand side [Volume 12, Issue 3 (Special Issue), 2022, Pages 658-679]
  • Crank–Nicolson Method A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank–Nicolson method [Volume 12, Issue 3 (Special Issue), 2022, Pages 607-628]
  • Credit default swap (CDS) Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation [Volume 12, Issue 2, 2022, Pages 426-448]
  • Crocodile hunting strategy Crocodile Hunting Strategy (CHS): A comparative study using benchmark functions [Volume 12, Issue 2, 2022, Pages 397-425]

D

E

  • Elzaki transform Elzaki transform method for solving deterministic modeling of terrorism [Volume 12, Issue 2, 2022, Pages 334-354]
  • Entire function Multiple interpolation with the fast-growing knots in the class of entire functions and its application [Volume 12, Issue 1, 2022, Pages 131-144]
  • Euler–Lagrange equations An efficient design for solving discrete optimal control problem with time-varying multi-delays [Volume 12, Issue 3 (Special Issue), 2022, Pages 719-738]
  • Exponential fitted operator Fitted numerical method for singularly perturbed semilinear three-point boundary value problem [Volume 12, Issue 1, 2022, Pages 145-162]
  • Extended Global Hessenberg process Global and extended global Hessenberg processes for solving Sylvester tensor equation with low-rank right-hand side [Volume 12, Issue 3 (Special Issue), 2022, Pages 658-679]

F

  • Fractional differential equations Hybrid of Block-pulse and orthonormal Bernstein functions for fractional differential equations [Volume 12, Issue 2, 2022, Pages 315-333]
  • Fractional optimal control problem (FOCP) Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 513-532]
  • Fractional Riccati Equation Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [Volume 12, Issue 3 (Special Issue), 2022, Pages 585-606]
  • Fuzzy theory Deception in multi-attacker security game with nonfuzzy and fuzzy payoffs [Volume 12, Issue 3 (Special Issue), 2022, Pages 542-566]

G

  • Gaussian quadrature Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [Volume 12, Issue 1, 2022, Pages 229-249]
  • Gauss–Legendre quadrature rule Numerical solution of a system of Volterra integral equations in application to the avian human influenza epidemic model [Volume 12, Issue 1, 2022, Pages 37-53]
  • Genetic algorithm Heuristic solutions for interval-valued games [Volume 12, Issue 1, 2022, Pages 187-200]
  • Global Hessenberg process Global and extended global Hessenberg processes for solving Sylvester tensor equation with low-rank right-hand side [Volume 12, Issue 3 (Special Issue), 2022, Pages 658-679]

H

  • Hybrid Functions Hybrid of Block-pulse and orthonormal Bernstein functions for fractional differential equations [Volume 12, Issue 2, 2022, Pages 315-333]

I

  • Indefinite preconditioning Preconditioned global GPBiCG method for solving saddle point problems with multiple right-hand sides and its convergence analysis [Volume 12, Issue 1, 2022, Pages 111-129]
  • Initial value problems Differential transform method: A comprehensive review and analysis [Volume 12, Issue 3 (Special Issue), 2022, Pages 629-657]
  • Interior layer A numerical approach for singular perturbation problems with an interior layer using an adaptive spline [Volume 12, Issue 2, 2022, Pages 355-370]
  • Interpolation problem Multiple interpolation with the fast-growing knots in the class of entire functions and its application [Volume 12, Issue 1, 2022, Pages 131-144]
  • Interval-valued payoffs Heuristic solutions for interval-valued games [Volume 12, Issue 1, 2022, Pages 187-200]

J

  • Jacobian matrix Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation [Volume 12, Issue 2, 2022, Pages 426-448]

K

  • KdV-equation Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [Volume 12, Issue 2, 2022, Pages 277-300]

L

  • Legendre wavelet Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [Volume 12, Issue 1, 2022, Pages 229-249]
  • Legendre wavelet Estimation of the regression function by Legendre wavelets [Volume 12, Issue 3 (Special Issue), 2022, Pages 497-512]
  • Line-Sweep Algorithm A two-phase method for solving continuous rank-one quadratic knapsack problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 567-584]
  • Low-rank Sylvester tensor equation Global and extended global Hessenberg processes for solving Sylvester tensor equation with low-rank right-hand side [Volume 12, Issue 3 (Special Issue), 2022, Pages 658-679]

M

  • Matrix-free, Inexact line search Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation [Volume 12, Issue 2, 2022, Pages 426-448]
  • Maximum absolute error Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [Volume 12, Issue 2, 2022, Pages 277-300]
  • Metaheuristic algorithm A heuristic algorithm to combat outliers and multicollinearity in regression model analysis [Volume 12, Issue 1, 2022, Pages 173-186]
  • Mixed-integer program-ming Deception in multi-attacker security game with nonfuzzy and fuzzy payoffs [Volume 12, Issue 3 (Special Issue), 2022, Pages 542-566]
  • Mixed shifts Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [Volume 12, Issue 1, 2022, Pages 55-72]
  • MMAE Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [Volume 12, Issue 1, 2022, Pages 55-72]
  • Modeling Elzaki transform method for solving deterministic modeling of terrorism [Volume 12, Issue 2, 2022, Pages 334-354]
  • Mono-tonicity preservation On a class of Bézier-like model for shape-preserving approximation [Volume 12, Issue 2, 2022, Pages 449-466]
  • Mott polynomials Using Mott polynomials operational matrices to optimize multi-dimensional fractional optimal control problems [Volume 12, Issue 1, 2022, Pages 201-227]
  • Multi-delay Modified ADMM algorithm for solving proximal bound formulation of multi-delay optimal control problem with bounded control [Volume 12, Issue 1, 2022, Pages 1-36]
  • Multiple right-hand sides Preconditioned global GPBiCG method for solving saddle point problems with multiple right-hand sides and its convergence analysis [Volume 12, Issue 1, 2022, Pages 111-129]

N

  • Noisy data Numerical approximation for inverse problem of the Ostrovsky–Burgers equation [Volume 12, Issue 1, 2022, Pages 73-109]
  • Nonlinear differential games A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games [Volume 12, Issue 2, 2022, Pages 467-482]
  • Nonlinear mixed-integer programming A heuristic algorithm to combat outliers and multicollinearity in regression model analysis [Volume 12, Issue 1, 2022, Pages 173-186]
  • Nonpolynomial splines A fourth-order method for solving singularly perturbed boundary value problems using nonpolynomial splines [Volume 12, Issue 2, 2022, Pages 483-497]
  • Numer-ical optimization Crocodile Hunting Strategy (CHS): A comparative study using benchmark functions [Volume 12, Issue 2, 2022, Pages 397-425]

O

  • Octant interlocking factorization A generalization of the ABS algorithms and its application to some special real and integer matrix factorizations [Volume 12, Issue 2, 2022, Pages 301-314]
  • Open-loop Nash equilibrium A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games [Volume 12, Issue 2, 2022, Pages 467-482]
  • Operational matrix Using Mott polynomials operational matrices to optimize multi-dimensional fractional optimal control problems [Volume 12, Issue 1, 2022, Pages 201-227]
  • Operational matrix Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [Volume 12, Issue 1, 2022, Pages 229-249]
  • Operational matrix Estimation of the regression function by Legendre wavelets [Volume 12, Issue 3 (Special Issue), 2022, Pages 497-512]
  • Optimization algorithms Crocodile Hunting Strategy (CHS): A comparative study using benchmark functions [Volume 12, Issue 2, 2022, Pages 397-425]
  • Order relations Heuristic solutions for interval-valued games [Volume 12, Issue 1, 2022, Pages 187-200]
  • Ostrovsky equation Numerical approximation for inverse problem of the Ostrovsky–Burgers equation [Volume 12, Issue 1, 2022, Pages 73-109]

P

  • Penalty method A heuristic algorithm to combat outliers and multicollinearity in regression model analysis [Volume 12, Issue 1, 2022, Pages 173-186]
  • Pontryagin maximum principle Shooting continuous Runge–Kutta method for delay optimal control problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 680-703]
  • Pontryagin maximum principle An efficient design for solving discrete optimal control problem with time-varying multi-delays [Volume 12, Issue 3 (Special Issue), 2022, Pages 719-738]
  • Pon-tryagin’s maximum principle A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games [Volume 12, Issue 2, 2022, Pages 467-482]
  • Post processing technique A fourth-order optimal numerical approximation and its convergence for singularly perturbed time delayed parabolic problems [Volume 12, Issue 2, 2022, Pages 250-276]
  • Preconditioned global GPBiCG Preconditioned global GPBiCG method for solving saddle point problems with multiple right-hand sides and its convergence analysis [Volume 12, Issue 1, 2022, Pages 111-129]
  • Primal-dual Modified ADMM algorithm for solving proximal bound formulation of multi-delay optimal control problem with bounded control [Volume 12, Issue 1, 2022, Pages 1-36]
  • Primal-dual algorithm Image denoising via a new hybrid TGV model based on Shannon interpolation [Volume 12, Issue 2, 2022, Pages 371-396]
  • Proximal operator Modified ADMM algorithm for solving proximal bound formulation of multi-delay optimal control problem with bounded control [Volume 12, Issue 1, 2022, Pages 1-36]

Q

  • Quadrant interlocking factorization A generalization of the ABS algorithms and its application to some special real and integer matrix factorizations [Volume 12, Issue 2, 2022, Pages 301-314]
  • Quadratic Knapsack Problem A two-phase method for solving continuous rank-one quadratic knapsack problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 567-584]
  • Quintic B-spline Collocation Numerical approximation for inverse problem of the Ostrovsky–Burgers equation [Volume 12, Issue 1, 2022, Pages 73-109]

R

  • Regression function Estimation of the regression function by Legendre wavelets [Volume 12, Issue 3 (Special Issue), 2022, Pages 497-512]
  • Root mean square error Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [Volume 12, Issue 2, 2022, Pages 277-300]

S

  • Saddle point problems Preconditioned global GPBiCG method for solving saddle point problems with multiple right-hand sides and its convergence analysis [Volume 12, Issue 1, 2022, Pages 111-129]
  • SCEM Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [Volume 12, Issue 1, 2022, Pages 55-72]
  • Second-order problems A fourth-order method for solving singularly perturbed boundary value problems using nonpolynomial splines [Volume 12, Issue 2, 2022, Pages 483-497]
  • Security game Deception in multi-attacker security game with nonfuzzy and fuzzy payoffs [Volume 12, Issue 3 (Special Issue), 2022, Pages 542-566]
  • Semi-analytical methods Differential transform method: A comprehensive review and analysis [Volume 12, Issue 3 (Special Issue), 2022, Pages 629-657]
  • Semilinear problem Fitted numerical method for singularly perturbed semilinear three-point boundary value problem [Volume 12, Issue 1, 2022, Pages 145-162]
  • Septic Bspline collocation Numerical approximation for inverse problem of the Ostrovsky–Burgers equation [Volume 12, Issue 1, 2022, Pages 73-109]
  • Shape adjustment On a class of Bézier-like model for shape-preserving approximation [Volume 12, Issue 2, 2022, Pages 449-466]
  • Shape-preserving On a class of Bézier-like model for shape-preserving approximation [Volume 12, Issue 2, 2022, Pages 449-466]
  • Shooting Method Shooting continuous Runge–Kutta method for delay optimal control problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 680-703]
  • Singularly perturbed A fourth-order method for solving singularly perturbed boundary value problems using nonpolynomial splines [Volume 12, Issue 2, 2022, Pages 483-497]
  • Singularly perturbed problem Fitted numerical method for singularly perturbed semilinear three-point boundary value problem [Volume 12, Issue 1, 2022, Pages 145-162]
  • Singular perturbation Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [Volume 12, Issue 1, 2022, Pages 55-72]
  • Singular perturbation A fourth-order optimal numerical approximation and its convergence for singularly perturbed time delayed parabolic problems [Volume 12, Issue 2, 2022, Pages 250-276]
  • Singular perturbation problem A numerical approach for singular perturbation problems with an interior layer using an adaptive spline [Volume 12, Issue 2, 2022, Pages 355-370]
  • Singular systems On stagnation of the DGMRES method [Volume 12, Issue 3 (Special Issue), 2022, Pages 533-541]
  • Solution of differential equation Multiple interpolation with the fast-growing knots in the class of entire functions and its application [Volume 12, Issue 1, 2022, Pages 131-144]
  • Stability A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank–Nicolson method [Volume 12, Issue 3 (Special Issue), 2022, Pages 607-628]
  • Stability analysis Numerical approximation for inverse problem of the Ostrovsky–Burgers equation [Volume 12, Issue 1, 2022, Pages 73-109]
  • Stability analysis Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [Volume 12, Issue 2, 2022, Pages 277-300]
  • Stagnation On stagnation of the DGMRES method [Volume 12, Issue 3 (Special Issue), 2022, Pages 533-541]
  • Staircasing effect Image denoising via a new hybrid TGV model based on Shannon interpolation [Volume 12, Issue 2, 2022, Pages 371-396]
  • System of Volterra integral equations Numerical solution of a system of Volterra integral equations in application to the avian human influenza epidemic model [Volume 12, Issue 1, 2022, Pages 37-53]

T

  • Terrorism Elzaki transform method for solving deterministic modeling of terrorism [Volume 12, Issue 2, 2022, Pages 334-354]
  • The avian human influenza epidemic model Numerical solution of a system of Volterra integral equations in application to the avian human influenza epidemic model [Volume 12, Issue 1, 2022, Pages 37-53]
  • The space fractional Schrödinger equations A new iteration method for solving space fractional coupled nonlinear Schrödinger equations [Volume 12, Issue 3 (Special Issue), 2022, Pages 704-718]
  • Three-point boundary problem Fitted numerical method for singularly perturbed semilinear three-point boundary value problem [Volume 12, Issue 1, 2022, Pages 145-162]
  • Time delayed parabolic problem A fourth-order optimal numerical approximation and its convergence for singularly perturbed time delayed parabolic problems [Volume 12, Issue 2, 2022, Pages 250-276]
  • Time-delay optimal control problems Shooting continuous Runge–Kutta method for delay optimal control problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 680-703]
  • Time-delay two-point bound-ary value problems Shooting continuous Runge–Kutta method for delay optimal control problems [Volume 12, Issue 3 (Special Issue), 2022, Pages 680-703]
  • Time-Fractional Telegraph Equation A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank–Nicolson method [Volume 12, Issue 3 (Special Issue), 2022, Pages 607-628]
  • Toeplitz matrix A new iteration method for solving space fractional coupled nonlinear Schrödinger equations [Volume 12, Issue 3 (Special Issue), 2022, Pages 704-718]
  • Total generalized variation regularization Image denoising via a new hybrid TGV model based on Shannon interpolation [Volume 12, Issue 2, 2022, Pages 371-396]
  • Tridiagonal system A numerical approach for singular perturbation problems with an interior layer using an adaptive spline [Volume 12, Issue 2, 2022, Pages 355-370]
  • Two persons zero sum game Heuristic solutions for interval-valued games [Volume 12, Issue 1, 2022, Pages 187-200]

U

  • Upwind scheme Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [Volume 12, Issue 1, 2022, Pages 55-72]

V

  • Variational model Image denoising via a new hybrid TGV model based on Shannon interpolation [Volume 12, Issue 2, 2022, Pages 371-396]

W

  • Wavelet approximation Estimation of the regression function by Legendre wavelets [Volume 12, Issue 3 (Special Issue), 2022, Pages 497-512]

Z

  • Z-number Deception in multi-attacker security game with nonfuzzy and fuzzy payoffs [Volume 12, Issue 3 (Special Issue), 2022, Pages 542-566]