This study contemplates the Finite Element Method (FEM), a well-known numerical method,
to find numerical approximations of the Convection–Diffusion–Reaction (CDR) equation. We …

In this paper, classical solutions of nonlinear parabolic partial differential equations with the
Robin boundary condition are approximated using the Galerkin finite element method …

This paper presents an efficient two-step hybrid block method (ETHBM) to obtain an
approximate solution to the FitzHugh–Nagumo problem. The considered partial differential …

This study proposed a scheme originated from the Galerkin finite element method (GFEM)
for solving nonlinear parabolic partial differential equations (PDEs) numerically with initial …

In recent years, much attention has been paid to machine learning-based numerical
approaches due to their applications in solving difficult high-dimensional problems. In this …

In the present work, polynomial, discrete singular convolution and sinc quadrature
techniques are employed as the new techniques to derive accurate and efficient numerical …

In this study, we examine numerical approximations for 2nd-order linear-nonlinear
differential equations with diverse boundary conditions, followed by the residual corrections …

In this study, we consider the system of second order nonlinear boundary value problems
(BVPs). We focus on the numerical solutions of different types of nonlinear BVPs by Galerkin …

The generalization of the classical FitzHugh–Nagumo model provides a more accurate
description of the physical phenomena of neurons by incorporating both nonlinearity and …

In this paper, a new combined approximation technique is developed to solve the Fitz-Hugh–
Nagumo (FHN) equation. This combined technique is based on Taylor's expansion which …