Theoretical and Numerical Study for Volterra− Fredholm Fractional Integro‐Differential Equations Based on Chebyshev Polynomials of the Third Kind

Z Laouar, N Arar, A Ben Makhlouf - Complexity, 2023 - Wiley Online Library
In this paper, we develop an efficient numerical method to approximate the solution of
fractional integro‐differential equations (FI‐DEs) of mixed Volterra− Fredholm type using …

Numerical Solution of the Burgers' Equation Using Chelyshkov Polynomials

N Arar, B Deghdough, S Dekkiche, Z Torch… - International Journal of …, 2024 - Springer
A numerical approach to approximate the nonlinear Burgers' equation solution is presented
in this article. By temporally discretizing the problem using the Crank-Nicolson scheme, we …

Numerical study of boundary problems for partial differential equations

L Zineb - 2024 - dspace.centre-univ-mila.dz
The aim of this work is to study various problems of mathematical equations using spectral
methods. It develops four numerical techniques suitable for every studied problem and …