Galerkin-Bernstein Approximations of the System of Time Dependent Nonlinear Parabolic PDEs
Hazrat Ali,
Nilormy Gupta Trisha,
Md. Shafiqul Islam
Abstract: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 Galerkin Weighted Residual Method (MGWRM) with the help of modified Bernstein polynomials. An approximate solution of the system has been assumed in accordance with the modified Bernstein polynomials. Thereafter, the modified Galerkin method has been applied to the system of nonlinear parabolic PDEs and has transformed the model into a t… Show more
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