A
-
Allen–Cahn equation
Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]
-
AP -equitable efficiency
Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [Volume 13, Issue 1, 2023, Pages 80-101]
-
Auto-convolution Volterra integral equations
Regularization of the generalized auto-convolution Volterra integral equation of the first kind [Volume 13, Issue 2, 2023, Pages 205-223]
B
-
Band matrices
A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
-
Basic reproduction number, Numerical simulation
Optimal control analysis for modeling HIV transmission [Volume 13, Issue 4, 2023, Pages 747-762]
-
Bessel polynomials
Numerical study of sine-Gordon equations using Bessel collocation method [Volume 13, Issue 4, 2023, Pages 728-746]
-
Bioconvection
Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
-
Boundary value problems
A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
-
Buoyancy ratio
Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
C
-
Caputo derivative
Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
-
Caputo fractional derivative
Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
-
Clustering
Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm [Volume 13, Issue 4, 2023, Pages 763-774]
-
Collocation method
A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]
-
Collocation method
Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]
-
Collocation meth-ods
Regularization of the generalized auto-convolution Volterra integral equation of the first kind [Volume 13, Issue 2, 2023, Pages 205-223]
-
Con-vergence analysis
A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
-
Convergence Analysis
A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]
-
Convergence Analysis
A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
-
Convergence Analysis
Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
-
Convex constraint
A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
-
Convolution inequalities
A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
-
Convolution type integral equations
A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
-
Coupled Burgers equations
Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method [Volume 13, Issue 3, 2023, Pages 397-425]
-
Credit default swap (CDS)
Finding an efficient machine learning predictor for lesser liquid credit default swaps in equity markets [Volume 13, Issue 1, 2023, Pages 19-37]
-
Cubic hat functions
Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
D
-
DBSCAN
Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm [Volume 13, Issue 4, 2023, Pages 763-774]
-
Duality
On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints [Volume 13, Issue 3, 2023, Pages 354-384]
E
-
Efficiency index
Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
-
Eigenfunction
Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
-
Eigen-value
Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
F
-
Finite Volume Method
Two-layer shallow water formula with slope and uneven bottom solved by finite volume method [Volume 13, Issue 2, 2023, Pages 317-335]
-
Fitted operator scheme
A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay [Volume 13, Issue 4, 2023, Pages 627-645]
-
Fixed point
Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
-
Forward finite difference scheme
An improvised technique of quintic hermite splines to discretize generalized Burgers–Huxley type equations [Volume 13, Issue 1, 2023, Pages 59-79]
-
Fractional Bagley–Torvik equation
Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
-
Fractional differential equation
Analysis and optimal control of a fractional MSD model [Volume 13, Issue 3, 2023, Pages 481-499]
-
Fractional integral-differential equations
Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
-
Fractional operational matrix
Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
-
Fractional-order shifted Hahn functions
A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
-
Fractional-time partial differential equations
A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
-
Fragile Points Method
Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]
-
Fredholm-Volterra equations
Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]
-
Function evaluation
Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
-
Fuzzy approximation
Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]
-
Fuzzy clustering
Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm [Volume 13, Issue 4, 2023, Pages 763-774]
-
Fuzzy Number of type L-R
Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]
G
-
Genocchi polynomials
Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
H
-
Heat Source
An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
-
Hepatitis C
Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method [Volume 13, Issue 4, 2023, Pages 646-671]
-
HIV
Optimal control analysis for modeling HIV transmission [Volume 13, Issue 4, 2023, Pages 747-762]
-
Hölder continuous coefficient
Modified Runge–Kutta method with convergence analysis for nonlinear stochastic differential equations with Hölder continuous diffusion coefficient [Volume 13, Issue 2, 2023, Pages 285-316]
-
Hopf bifurcation
Stability and Hopf bifurcation in leech heart interneuron model [Volume 13, Issue 2, 2023, Pages 170-186]
I
-
Image de-blurring
A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
-
Inclination angle
Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
-
Initial guess
Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
-
Integral transform
A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
-
Integro-differential equations
Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]
-
Interpolated variational iteration method
The interpolated variational iteration method for solving a class of nonlinear optimal control problems [Volume 13, Issue 2, 2023, Pages 224-242]
-
Interval arithmetic
A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
-
Inverse Problems
An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
-
Iterative method
A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [Volume 13, Issue 2, 2023, Pages 157-169]
-
Iterative method
Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
J
-
Jacobi wavelets
Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method [Volume 13, Issue 4, 2023, Pages 646-671]
L
-
Lagrange polynomials
A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]
-
Lane–Emden type differential equations
A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
-
Lavrentiev regularization method
Regularization of the generalized auto-convolution Volterra integral equation of the first kind [Volume 13, Issue 2, 2023, Pages 205-223]
-
Linear barycentric rational inter-polants
An operational matrix method for solving a class of nonlinear Volterra integral equations arising in steady activation of a skeletal muscle [Volume 13, Issue 2, 2023, Pages 336-353]
-
Line search
A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
-
Liquidity
Finding an efficient machine learning predictor for lesser liquid credit default swaps in equity markets [Volume 13, Issue 1, 2023, Pages 19-37]
-
Lucas polynomials
Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
M
-
Machine learning
Finding an efficient machine learning predictor for lesser liquid credit default swaps in equity markets [Volume 13, Issue 1, 2023, Pages 19-37]
-
Maize streak virus
Analysis and optimal control of a fractional MSD model [Volume 13, Issue 3, 2023, Pages 481-499]
-
Modulus of convexity
Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
-
Multiobjective interval-valued optimization problem
On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints [Volume 13, Issue 3, 2023, Pages 354-384]
-
Multiobjective programming
Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [Volume 13, Issue 1, 2023, Pages 80-101]
-
Multi- order
Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]
N
-
Nanofluid
Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
-
Nearest Trapezoidal Fuzzy Number
Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]
-
Newton method
A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [Volume 13, Issue 2, 2023, Pages 157-169]
-
Noncyclic contraction map
Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
-
Nondominated
Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [Volume 13, Issue 1, 2023, Pages 80-101]
-
Nonlinear equations
A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
-
Nonlinear Fredholm integro-differential equations
Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations [Volume 13, Issue 3, 2023, Pages 444-459]
-
Nonlinear Monotone Equations
A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
-
Nonlinear scalar equations
Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
-
Numerical algorithms
Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
-
Numerical Fluxes
Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]
-
Numerical Method
Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations [Volume 13, Issue 3, 2023, Pages 444-459]
-
Numerical simulation
Analysis and optimal control of a fractional MSD model [Volume 13, Issue 3, 2023, Pages 481-499]
O
-
Operational matrix
An operational matrix method for solving a class of nonlinear Volterra integral equations arising in steady activation of a skeletal muscle [Volume 13, Issue 2, 2023, Pages 336-353]
-
Operational matrix
An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
-
Operational matrix of derivative
Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method [Volume 13, Issue 4, 2023, Pages 646-671]
-
Optimal control problem
An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
-
Optimal control problem
Optimal control analysis for modeling HIV transmission [Volume 13, Issue 4, 2023, Pages 747-762]
-
Optimal control problems
The interpolated variational iteration method for solving a class of nonlinear optimal control problems [Volume 13, Issue 2, 2023, Pages 224-242]
-
Or-thogonal Collocation
Numerical study of sine-Gordon equations using Bessel collocation method [Volume 13, Issue 4, 2023, Pages 728-746]
P
-
Parametric spline
A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
-
Pascal’s triangle
A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
-
Peclet number
Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
-
Pontryagin’s maximum principle
The interpolated variational iteration method for solving a class of nonlinear optimal control problems [Volume 13, Issue 2, 2023, Pages 224-242]
-
Power series
A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [Volume 13, Issue 2, 2023, Pages 157-169]
-
Priori and posteriori errors estimates
Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
-
Projection method
A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
Q
-
QUICK scheme
Two-layer shallow water formula with slope and uneven bottom solved by finite volume method [Volume 13, Issue 2, 2023, Pages 317-335]
-
Quintic Hermite splines
An improvised technique of quintic hermite splines to discretize generalized Burgers–Huxley type equations [Volume 13, Issue 1, 2023, Pages 59-79]
R
-
Rational RBFs method
Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]
-
RBFs
Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]
-
Residual error function
Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
-
Rigorous bounds
A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
-
Routh–Hurwitz criteria
Stability and Hopf bifurcation in leech heart interneuron model [Volume 13, Issue 2, 2023, Pages 170-186]
-
Runge–Kutta method
Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]
S
-
Schrödinger equa-tion
Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]
-
Shape Function
Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]
-
Shifted Legendre polynomials (SLPs)
An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
-
Signal processing
A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
-
Singular perturbation
Fitted scheme for singularly perturbed time delay reaction-diffusion problems [Volume 13, Issue 2, 2023, Pages 262-284]
-
Singular perturbation
A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay [Volume 13, Issue 4, 2023, Pages 627-645]
-
Singular perturbation problem
Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method [Volume 13, Issue 4, 2023, Pages 711-727]
-
Spectral method, Error analysis
A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
-
Stability
Stability and Hopf bifurcation in leech heart interneuron model [Volume 13, Issue 2, 2023, Pages 170-186]
-
Stability analysis
An improvised technique of quintic hermite splines to discretize generalized Burgers–Huxley type equations [Volume 13, Issue 1, 2023, Pages 59-79]
-
Stability analysis
Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method [Volume 13, Issue 3, 2023, Pages 397-425]
-
Stability and convergence
Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method [Volume 13, Issue 4, 2023, Pages 711-727]
-
Stochastic differential equation
Modified Runge–Kutta method with convergence analysis for nonlinear stochastic differential equations with Hölder continuous diffusion coefficient [Volume 13, Issue 2, 2023, Pages 285-316]
-
Sturm–Liouville problem
Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
-
System of Fredholm integral equation
A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]
T
-
Tikhonov regularization method
Regularization of the generalized auto-convolution Volterra integral equation of the first kind [Volume 13, Issue 2, 2023, Pages 205-223]
-
Time delay
A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay [Volume 13, Issue 4, 2023, Pages 627-645]
-
Time-delay, Parabolic differential equa-tion, Reaction-diffusion problem, Hybrid scheme
Fitted scheme for singularly perturbed time delay reaction-diffusion problems [Volume 13, Issue 2, 2023, Pages 262-284]
-
Two-layer shallow water
Two-layer shallow water formula with slope and uneven bottom solved by finite volume method [Volume 13, Issue 2, 2023, Pages 317-335]
-
Two parameters parabolic convection-diffusion problem
A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay [Volume 13, Issue 4, 2023, Pages 627-645]
U
-
Uniformly convex Ba-nach space
Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
V
-
Volterra integral equations
An operational matrix method for solving a class of nonlinear Volterra integral equations arising in steady activation of a skeletal muscle [Volume 13, Issue 2, 2023, Pages 336-353]
-
Voronoi Diagram
Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]
W
-
Wave equation
Numerical study of sine-Gordon equations using Bessel collocation method [Volume 13, Issue 4, 2023, Pages 728-746]
-
Wave-like partial differential equations
A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
-
Weakly singular kernels
Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
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