5 papers
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…
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…
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…
Numerical Approximations of a Class of Nonlinear Second-Order Boundary Value Problems using Galerkin-Compact Finite Difference Method
Shovan Sourav Datta Pranta, Md. Shafiqul Islam
In this study, we examine numerical approximations for 2nd-order linear-nonlinear differential equations with diverse boundary conditions, followed by the residual corrections of t…
Approximations of Time-Dependent Nonlinear Partial Differential Equations using Galerkin Optimal Auxiliary Function Method
Nilormy Gupta Trisha, Md. Shafiqul Islam
The purpose of this research work is to employ the Optimal Auxiliary Function Method (OAFM) for obtaining numerical approximations of time-dependent nonlinear partial differential…