Numerical algorithm to Caputo type time–space fractional partial differential equations with variable coefficients

S Kheybari - Mathematics and Computers in Simulation, 2021 - Elsevier
This article assigns to a new numerical algorithm as an appropriate tool that deals with the
time–space fractional partial differential equations in Caputo sense with variable …

A semi-analytical approach to Caputo type time-fractional modified anomalous sub-diffusion equations

S Kheybari, MT Darvishi, MS Hashemi - Applied Numerical Mathematics, 2020 - Elsevier
This article is devoted to a new semi-analytical algorithm for solving time-fractional modified
anomalous sub-diffusion equations (FMASDEs). In this method first, the main problem is …

Numerical simulation for the space-fractional diffusion equations

S Kheybari, MT Darvishi, MS Hashemi - Applied Mathematics and …, 2019 - Elsevier
This paper presents, a novel semi-analytical algorithm, based on the Chebyshev collocation
method, for the solution of space-fractional diffusion equations. The original fractional …

A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function

MP Alam, A Khan - Mathematical Sciences, 2024 - Springer
In the present work, we have developed high-order computationally reliable numerical
method based on trigonometric quintic B-spline basis functions for solving a class of …

[HTML][HTML] A modified scheme to the multiple shooting method for BVPs

S Kheybari, MT Darvishi, F Alizadeh… - Alexandria Engineering …, 2025 - Elsevier
A significant modification of the multiple shooting method for solving n th order boundary
value problems (BVPs) is presented. Initially, the mathematical foundation of this …

Numerical and mathematical analysis of nonlocal singular Emden–Fowler type BVPs by improved Taylor-wavelet method

N Saha, R Singh - Computational and Applied Mathematics, 2024 - Springer
This paper focuses on develo** an efficient numerical approach based on Taylor-
wavelets for solving three-point (nonlocal) singular boundary value problems. A special …

[PDF][PDF] An Accurate Approximate Solutions of Multipoint Boundary Value Problems

NR Anakira, MM Al-Shorman, AF Jameel - General Letters in …, 2019 - refaad.com
The main objective of this paper is to obtain a new accurate approximate solutions for a kind
of ordinary differential equations called multipoint boundary value problems by using simple …

[HENVISNING][C] Solving Multi-Point Boundary Value Differential Equations with a Novel Semi-Analytical Algorithm

S Kheybari, MT Darvishi, F Alizadeh… - International Journal …, 2025 - World Scientific
To address the general multi-point boundary value problems, we present a novel semi-
analytical algorithm. This scheme is applicable to both linear and nonlinear fractional-order …