The article introduces a novel and developed a numerical technique that solves nonlinear
time fractional differential equations. It combines finite difference and non-polynomial spline …

A parameter uniform numerical method is presented for solving singularly perturbed
parabolic differential‐difference equations with small shift arguments in the reaction terms …

This paper presents a groundbreaking numerical technique for solving nonlinear time
fractional differential equations, combining the conformable continuity equation (CCE) with …

In a recent study, we investigate the Burgers–Fisher equation through a developed scheme,
namely, the non-polynomial spline fractional continuity method. The proposed models …

This paper proposes an efficient hybrid numerical method to obtain approximate solutions of
nonlinear advection–diffusion–reaction (ADR) equations arising in real-world phenomena …

We study the pseudospectral discretization of a nonlinear multidimensional generalized
Burgers–Fisher equation. The main objective of this study is to establish that the …

In this paper, the collocation method with cubic B‐spline as basis function has been
successfully applied to numerically solve the Burgers–Huxley equation. This equation …

This paper introduces a fourth order collocation scheme based upon the modified form of
cubic B-splines (mCB) to obtain the approximate new results of the sine–Gordon (S–G) …

A combined spectral matrix collocation strategy is presented to solve the time-dependent
nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms …

This article investigates the effect of diffusion, advection and Fisher terms when nonlinear
diffusion occurs in a porous medium. The main advantage of this article is the derivation of a …