[HTML][HTML] Cubic trigonometric B-spline differential quadrature method for numerical treatment of Fisher's reaction-diffusion equations

M Tamsir, N Dhiman, VK Srivastava - Alexandria engineering journal, 2018 - Elsevier
This paper concerns through the numerical treatment of Fisher's reaction-diffusion equation
by using a hybrid numerical method. In this method, the combination of cubic trigonometric B …

[HTML][HTML] A numerical approach for solving Fisher's reaction–diffusion equation via a new kind of spline functions

M Tamsir, MJ Huntul - Ain Shams Engineering Journal, 2021 - Elsevier
The objective of this work is to propose a hybrid numerical method for the approximation of
Fisher's reaction–diffusion equation. The method is based on cubic uniform algebraic …

A Jacobi wavelet collocation method for fractional Fisher's equation in time

A Secer, M Cinar - Thermal Science, 2020 - doiserbia.nb.rs
In this study, the Jacobi wavelet collocation method is studied to derive a solution of the time-
fractional Fisher's equation in Caputo sense. Jacobi wavelets can be considered as a …

A New Two-Step Hybrid Block Method for the FitzHugh–Nagumo Model Equation

MA Rufai, AA Kosti, ZA Anastassi, B Carpentieri - Mathematics, 2023 - mdpi.com
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 …

An optimized second order numerical scheme applied to the non-linear Fisher's reaction-diffusion equation

M Izadi, HM Srivastava - Journal of Interdisciplinary Mathematics, 2022 - Taylor & Francis
Four one-parameter θ-family of simple and seemingly implicit finite difference schemes are
proposed to obtain an accurate approximate solution for the non-linear Fisher model …

A study of one dimensional nonlinear diffusion equations by Bernstein polynomial based differential quadrature method

RC Mittal, R Rohila - Journal of Mathematical Chemistry, 2017 - Springer
The purpose of this work is to study numerical solutions of nonlinear diffusion equations
such as Fisher's equation, Burgers' equation and modified Burgers' equation by applying …

An unconditionally stable numerical scheme for solving nonlinear Fisher equation

V Vimal, RK Sinha, P Liju - Nonlinear Engineering, 2024 - degruyter.com
In this study, novel numerical methods are presented for solving nonlinear Fisher equations.
These equations have a wide range of applications in various scientific and engineering …

A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order

M Delkhosh, K Parand - Computational and Applied Mathematics, 2019 - Springer
In this study, the Quasi-Linearization Method (QLM) is combined with the collocation
method, based on the bivariate generalized fractional order of the Chebyshev functions (B …

A second-order accurate finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation

M Izadi - Journal of Information and Optimization Sciences, 2021 - Taylor & Francis
In this paper, we introduce a wide family of practical numerical methods with two weighing
parameters to solve the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation from …

Exploring the Efficacy of the Weighted Average Method for Solving Nonlinear Partial Differential Equations: A Study on the Burger-Fisher Equation

AC Loyinmi, MD Sanyaolu… - EDUCATUM Journal of …, 2025 - ojs.upsi.edu.my
This study explores the application of the weighted average method for solving the Burger-
Fisher equation, a nonlinear partial differential equation (PDE) of significant interest in …