Work

Backward Differentiation Formula Based Numerical Method to Solve Fisher Equation

Year: 2024

Type: article

Abstract: This paper presents a novel numerical approach, which is based on the Method of Lines. This method semi-discretizes the problem and produces a system of ordinary differential equations (ODEs) in time. To solve this system, a stiff solver, BDF2, is used, which yields very precise results. The linearization is handled by the Taylor series method. To validate the numerical method, various test examples are considered. These formulas find extensive applications across various scientific and engineering domains.

Source: South East Asian J of Mathematics and Mathematical Sciences

DOI: 10.56827/seajmms.2024.2002.34

Authors: Vikash Vimal, Rajesh Kumar Sinha, Liju P.

Institutions: National Institute of Technology Patna, National Institute of Technology Calicut

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4406188217

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