Keyword Index

A

  • Abel’s integral equation The Fibonacci polynomials solution for Abel’s integral equation of second kind [Volume 10, Issue 1, 2020, Pages 63-79]
  • Allen–Cahn equation Numerical solution of the Allen-Cahn equation by using ”shifted” surface spline radial basis functions [Volume 10, Issue 2, 2020, Pages 177-196]

B

  • Backstepping On the stabilization of a coupled fractional ordinary and partial differential equations† [Volume 10, Issue 1, 2020, Pages 177-193]
  • Bell polynomial On the numerical solution of optimal control problems via Bell polynomials basis [Volume 10, Issue 2, 2020, Pages 197-221]
  • Benders decomposition The most probable allocation solution for the p-median problem [Volume 10, Issue 2, 2020, Pages 155-176]
  • Bernstein polynomial An approximate method based on Bernstein polynomials for solving fractional PDEs with proportional delays [Volume 10, Issue 2, 2020, Pages 223-239]
  • Bernstein polynomials A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method [Volume 10, Issue 1, 2020, Pages 121-138]
  • Best approximation On the numerical solution of optimal control problems via Bell polynomials basis [Volume 10, Issue 2, 2020, Pages 197-221]
  • Biobjective network flow Solving biobjective network flow problem associated with minimum cost-time loading [Volume 10, Issue 2, 2020, Pages 33-48]

C

  • Capacitated p-median The most probable allocation solution for the p-median problem [Volume 10, Issue 2, 2020, Pages 155-176]
  • Caputo derivative An approximate method based on Bernstein polynomials for solving fractional PDEs with proportional delays [Volume 10, Issue 2, 2020, Pages 223-239]
  • Caputo fractional derivative 2D-fractional Muntz–Legendre polynomials for solving the fractional partial differential equations [Volume 10, Issue 2, 2020, Pages 1-31]
  • Caputo–Prabhakar fractional derivative Comparison of homotopy perturbation transform method and fractional Adams–Bashforth method for the Caputo–Prabhakar nonlinear fractional differential equations [Volume 10, Issue 2, 2020, Pages 63-85]
  • Classification An efficient algorithm to improve the accuracy and reduce the computations of LS-SVM [Volume 10, Issue 1, 2020, Pages 33-47]
  • Collocation points The Fibonacci polynomials solution for Abel’s integral equation of second kind [Volume 10, Issue 1, 2020, Pages 63-79]
  • Convergence Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation [Volume 10, Issue 2, 2020, Pages 131-153]
  • Cutting algorithm An efficient algorithm to improve the accuracy and reduce the computations of LS-SVM [Volume 10, Issue 1, 2020, Pages 33-47]

E

  • Eigenvalues, Using homotopy analysis method to find the eigenvalues of higher order fractional Sturm–Liouville problems [Volume 10, Issue 1, 2020, Pages 49-62]

F

  • Fibonacci polynomials The Fibonacci polynomials solution for Abel’s integral equation of second kind [Volume 10, Issue 1, 2020, Pages 63-79]
  • Finite difference A noniterative domain decomposition method for the forward-backward heat equation [Volume 10, Issue 2, 2020, Pages 49-61]
  • First-order shear deformation theory Nonlinear vibrations of functionally graded cylindrical shell by using numerical analysis in the wave propagation method [Volume 10, Issue 2, 2020, Pages 241-264]
  • Fixed time Solving biobjective network flow problem associated with minimum cost-time loading [Volume 10, Issue 2, 2020, Pages 33-48]
  • Fluid-structure interaction Nonlinear vibrations of functionally graded cylindrical shell by using numerical analysis in the wave propagation method [Volume 10, Issue 2, 2020, Pages 241-264]
  • Forward-backward heat equation A noniterative domain decomposition method for the forward-backward heat equation [Volume 10, Issue 2, 2020, Pages 49-61]
  • Fractional Adams–Bashforth method Comparison of homotopy perturbation transform method and fractional Adams–Bashforth method for the Caputo–Prabhakar nonlinear fractional differential equations [Volume 10, Issue 2, 2020, Pages 63-85]
  • Fractional Homotopy perturbation transform method Comparison of homotopy perturbation transform method and fractional Adams–Bashforth method for the Caputo–Prabhakar nonlinear fractional differential equations [Volume 10, Issue 2, 2020, Pages 63-85]
  • Fractional-order cascaded systems On the stabilization of a coupled fractional ordinary and partial differential equations† [Volume 10, Issue 1, 2020, Pages 177-193]
  • Fractional partial differential equation An approximate method based on Bernstein polynomials for solving fractional PDEs with proportional delays [Volume 10, Issue 2, 2020, Pages 223-239]
  • Fractional partial differential equations (FPDEs) 2D-fractional Muntz–Legendre polynomials for solving the fractional partial differential equations [Volume 10, Issue 2, 2020, Pages 1-31]
  • Fractional programming Maximum probability O-D matrix estimation in large-sized networks [Volume 10, Issue 2, 2020, Pages 105-130]
  • Fractional Sturm– Liouville problems Using homotopy analysis method to find the eigenvalues of higher order fractional Sturm–Liouville problems [Volume 10, Issue 1, 2020, Pages 49-62]
  • Functionally Graded Materials Nonlinear vibrations of functionally graded cylindrical shell by using numerical analysis in the wave propagation method [Volume 10, Issue 2, 2020, Pages 241-264]

G

  • Gauss-Jacobi nodes Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation [Volume 10, Issue 1, 2020, Pages 195-223]

H

  • Hermite–Birkhoff interpolation Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation [Volume 10, Issue 2, 2020, Pages 131-153]
  • Heuristic algorithms Moving to higher directional scheduling schemes [Volume 10, Issue 1, 2020, Pages 139-155]
  • Homotopy analysis method, Using homotopy analysis method to find the eigenvalues of higher order fractional Sturm–Liouville problems [Volume 10, Issue 1, 2020, Pages 49-62]

I

  • Image denoising A four directions variational method for solving image processing problems [Volume 10, Issue 2, 2020, Pages 87-104]
  • Infected model Application of control and optimal treatment for predator-prey model† [Volume 10, Issue 1, 2020, Pages 157-176]
  • Interdiction ‎ Approximation algorithm for maximum flow network interdiction problem [Volume 10, Issue 1, 2020, Pages 1-18]

K

  • Klein-Gordon equation Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [Volume 10, Issue 1, 2020, Pages 81-106]

L

  • Least squares approach Maximum probability O-D matrix estimation in large-sized networks [Volume 10, Issue 2, 2020, Pages 105-130]
  • Least squares support vector machine An efficient algorithm to improve the accuracy and reduce the computations of LS-SVM [Volume 10, Issue 1, 2020, Pages 33-47]
  • Linear stability Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation [Volume 10, Issue 2, 2020, Pages 131-153]
  • Location problems The most probable allocation solution for the p-median problem [Volume 10, Issue 2, 2020, Pages 155-176]

M

  • Magnetic resonance imaging A four directions variational method for solving image processing problems [Volume 10, Issue 2, 2020, Pages 87-104]
  • Meshless method Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [Volume 10, Issue 1, 2020, Pages 81-106]
  • Minimum cost-time Solving biobjective network flow problem associated with minimum cost-time loading [Volume 10, Issue 2, 2020, Pages 33-48]
  • Minimum information The most probable allocation solution for the p-median problem [Volume 10, Issue 2, 2020, Pages 155-176]
  • Multidirectional scheduling schemes Moving to higher directional scheduling schemes [Volume 10, Issue 1, 2020, Pages 139-155]
  • Multiquadric quasi-interpolation Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [Volume 10, Issue 1, 2020, Pages 81-106]
  • Multistep collocation methods Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation [Volume 10, Issue 2, 2020, Pages 131-153]

N

  • Natural frequencies of cylindrical shell Nonlinear vibrations of functionally graded cylindrical shell by using numerical analysis in the wave propagation method [Volume 10, Issue 2, 2020, Pages 241-264]
  • Network The most probable allocation solution for the p-median problem [Volume 10, Issue 2, 2020, Pages 155-176]
  • Noniterative method A noniterative domain decomposition method for the forward-backward heat equation [Volume 10, Issue 2, 2020, Pages 49-61]
  • Nonlinear vibrations Nonlinear vibrations of functionally graded cylindrical shell by using numerical analysis in the wave propagation method [Volume 10, Issue 2, 2020, Pages 241-264]
  • Nonlocal time weighting initial condition A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method [Volume 10, Issue 1, 2020, Pages 121-138]
  • Nonoverlapping domain decomposition A noniterative domain decomposition method for the forward-backward heat equation [Volume 10, Issue 2, 2020, Pages 49-61]
  • Numerical Solution A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method [Volume 10, Issue 1, 2020, Pages 121-138]

O

  • Observability A different view on controllability and observability of continuous time linear systems with interval coefficients [Volume 10, Issue 1, 2020, Pages 107-120]
  • Operational matrix 2D-fractional Muntz–Legendre polynomials for solving the fractional partial differential equations [Volume 10, Issue 2, 2020, Pages 1-31]
  • Operational matrix An approximate method based on Bernstein polynomials for solving fractional PDEs with proportional delays [Volume 10, Issue 2, 2020, Pages 223-239]
  • Operational matrix of derivative On the numerical solution of optimal control problems via Bell polynomials basis [Volume 10, Issue 2, 2020, Pages 197-221]
  • Optimal control problems On the numerical solution of optimal control problems via Bell polynomials basis [Volume 10, Issue 2, 2020, Pages 197-221]
  • Origin-destination trip matrix Maximum probability O-D matrix estimation in large-sized networks [Volume 10, Issue 2, 2020, Pages 105-130]

P

  • Predator-prey Application of control and optimal treatment for predator-prey model† [Volume 10, Issue 1, 2020, Pages 157-176]
  • Primal-dual algorithm Solving biobjective network flow problem associated with minimum cost-time loading [Volume 10, Issue 2, 2020, Pages 33-48]
  • Primal-dual optimization method A four directions variational method for solving image processing problems [Volume 10, Issue 2, 2020, Pages 87-104]
  • Priority rule Moving to higher directional scheduling schemes [Volume 10, Issue 1, 2020, Pages 139-155]
  • Probabilistic traffic counts Maximum probability O-D matrix estimation in large-sized networks [Volume 10, Issue 2, 2020, Pages 105-130]
  • Propagation method Nonlinear vibrations of functionally graded cylindrical shell by using numerical analysis in the wave propagation method [Volume 10, Issue 2, 2020, Pages 241-264]
  • Pseudospectral method Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [Volume 10, Issue 1, 2020, Pages 81-106]

R

  • Radial basis functions Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [Volume 10, Issue 1, 2020, Pages 81-106]
  • RBF collocation method Numerical solution of the Allen-Cahn equation by using ”shifted” surface spline radial basis functions [Volume 10, Issue 2, 2020, Pages 177-196]
  • Regularization A four directions variational method for solving image processing problems [Volume 10, Issue 2, 2020, Pages 87-104]
  • Resource measure Moving to higher directional scheduling schemes [Volume 10, Issue 1, 2020, Pages 139-155]
  • Ritz–Galerkin method A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method [Volume 10, Issue 1, 2020, Pages 121-138]
  • Runge-Kutta fourth order method Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [Volume 10, Issue 1, 2020, Pages 81-106]

S

  • Satisfier function A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method [Volume 10, Issue 1, 2020, Pages 121-138]
  • Scheduling Moving to higher directional scheduling schemes [Volume 10, Issue 1, 2020, Pages 139-155]
  • Shifted Jacobi polynomials Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation [Volume 10, Issue 1, 2020, Pages 195-223]
  • Shifted surface spline Numerical solution of the Allen-Cahn equation by using ”shifted” surface spline radial basis functions [Volume 10, Issue 2, 2020, Pages 177-196]
  • Solvability Numerical solution of the Allen-Cahn equation by using ”shifted” surface spline radial basis functions [Volume 10, Issue 2, 2020, Pages 177-196]
  • Stability Application of control and optimal treatment for predator-prey model† [Volume 10, Issue 1, 2020, Pages 157-176]
  • Stability On the stabilization of a coupled fractional ordinary and partial differential equations† [Volume 10, Issue 1, 2020, Pages 177-193]
  • Stability Numerical solution of the Allen-Cahn equation by using ”shifted” surface spline radial basis functions [Volume 10, Issue 2, 2020, Pages 177-196]

T

V

  • Volterra integro-differential equations Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation [Volume 10, Issue 2, 2020, Pages 131-153]