In this work, we propose a numerical scheme to obtain approximate solutions of generalized
Burgers–Fisher and Burgers–Huxley equations. The scheme is based on collocation of …

We propose a polynomial-based numerical scheme for solving some important nonlinear
partial differential equations (PDEs). In the proposed technique, the temporal part is …

In this article, the authors present finite element analysis and approximation of Burgers'‐
Fisher equation. Existence and uniqueness of weak solution is proved by Galerkin's finite …

In this study, we introduce a new numerical technique for solving nonlinear generalized
Burgers‐Fisher and Burgers‐Huxley equations using hybrid B‐spline collocation method …

Up to tenth-order finite difference schemes are proposed in this paper to solve one-
dimensional advection-diffusion equation. The schemes based on high-order differences …

This study aims to produce numerical solutions of one‐dimensional advection‐diffusion
equation using a sixth‐order compact difference scheme in space and a fourth‐order Runge …

A finite-difference scheme based on fourth-order rational approximants to the matrix–
exponential term in a two-time level recurrence relation is proposed for the numerical …

In this paper, a robust Hermite collocation technique is proposed to find the numerical
solution of generalized Burgers-Huxley and Burgers-Fisher equations as well as modified …

We propose exact finite difference scheme (EFD) for Generalized Burgers Fisher (GBF)
Equation wxx= wt+ α w θ wx− β w (1− w θ), 0≤ x≤ 1, t≥ 0, using solitary wave solution …

In this article, up to tenth‐order finite difference schemes are proposed to solve the
generalized Burgers–Huxley equation. The schemes based on high‐order differences are …