Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique
Date
2023
Authors
Izadi, Mohammad
Srivastava, Hari Mohan
Journal Title
Journal ISSN
Volume Title
Publisher
Kuwait Journal of Science
Abstract
A combined spectral matrix collocation strategy is presented to solve the time-dependent nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms such as advection, diffusion, and logistic reaction. The nonlinearity of the model is first tackled by a time-marching scheme based on the Taylor formula. Hence in each time step, we solve a linear initial boundary value problem (IBVP) by using the spectral collocation technique based on novel Boole polynomials. Various numerical computations are carried out to indicate the pertinent features and testify the applicability of the presented combined technique. Comparisons are made between our results and the exact analytical solutions and some available numerical outcomes in the literature to show the validity of the method.
Description
Keywords
Boole polynomials, Burgers–Fisher equation, Taylor expansion, convergence analysis, collocation points
Citation
Izadi, M., & Srivastava, H. M. (2023). Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique. Kuwait Journal of Science, 100163. https://doi.org/10.1016/j.kjs.2023.12.003