This paper deals with numerical approximations of a one-dimensional semilinear parabolic
equation with a gradient term. Firstly, we derive the semidiscrete problem of the considered …

This work is concerned with the periodic solution of a doubly degenerate Allen-Cahn
equation with nonlocal terms associated with Neumann boundary conditions. Firstly, we …

This work is concerned with the periodic solution of a p-Laplacian Allen-Cahn equation with
nonlocal terms associated with Neumann boundary conditions. Namely, the topological …

The aim of this paper is to obtain a set of traveling wave solutions for klein–Gorden equation
with kerr law non-linearity. More precisely, we apply a new path of popularized …

In this paper, a new modified variational iteration method (MVIM) with a genetic algorithm
has been applied for solving nonlinear partial differential equations. Therefore, a new …

This study focuses on the derivation of explicit and implicit finite difference formulas. The
objective of this study is to derive an estimation of the blow-up time for a coupled reaction …

In this paper, we explain how symmetry analysis is applied to the Korteweg-de Vries
equation. This equation under study is a nonlinear partial differential equation of third order …

The authors of this manuscript have worked to investigate the existence of the time periodic
weak solution Quasi-linear Chafee-Infante Equation with periodic initial conditions and …

This work is devoted to study the blow-up phenomenon in a reaction-diffusion equation,
defined on a ball, with a Dirichlet boundary condition. It is shown that the classical solutions …

This paper is concerned with the numerical blow-up time for a coupled system of two one-
dimensional semilinear parabolic equations with zero Dirichlet boundary conditions. Firstly …