Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes

N Kumar, J Singh, R Jiwari - Computers & Mathematics with Applications, 2023 - Elsevier
In this paper, we present a convergence analysis of a weak Galerkin finite element method
(WG-FEM) using polygonal meshes for the semilinear singularly perturbed time-dependent …

Efficient computational method for singularly perturbed Burger-Huxley equations

MJ Kabeto, TA Bullo, HG Debela, GR Kusi… - Journal of Mathematical …, 2024 - Springer
This paper focuses on an efficient computational method for solving the singularly perturbed
Burger-Huxley equations. The difficulties encountered in solving this problem come from the …

Non-polynomial B-spline collocation method for solving singularly perturbed quasilinear Sobolev equation

FE Merga, GF Duressa - Iranian Journal of Numerical Analysis and …, 2024 - ijnao.um.ac.ir
In this paper, singularly perturbed one-dimensional initial boundary value problem of
quasilinear Sobolev type equation is presented. The non-linear term of the problem is …