3 papers
math.NA2024
Galerkin-Bernstein Approximations for the System of Third-Order Nonlinear Boundary Value Problems
Snigdha Dhar, Md. Shafiqul Islam
This paper is devoted to find the numerical solutions of one dimensional general nonlinear system of third-order boundary value problems (BVPs) for the pair of functions using Gale…
math.NA2024
Approximation of Some Nonlinear Fractional Order BVPs by Weighted Residual Methods
Umme Ruman, Md. Shafiqul Islam
To extract the approximate solutions in the case of nonlinear fractional order differential equations with the homogeneous and nonhomogeneous boundary conditions, the weighted resi…
math.NA2023
Galerkin-Bernstein Approximations of the System of Time Dependent Nonlinear Parabolic PDEs
Hazrat Ali, Nilormy Gupta Trisha, Md. Shafiqul Islam
The purpose of the research is to find the numerical solutions to the system of time dependent nonlinear parabolic partial differential equations (PDEs) utilizing the Modified Gale…