Published May 2018
| Version v1
Journal article
Numerical solutions of FitzHugh–Nagumo equation by exact finite-difference and NSFD schemes
Creators
- 1. Vali-e-Asr University of Rafsanjan, Department of Mathematics, School of Mathematical Sciences (Iran, Islamic Republic of)
- 2. Islamic Azad University, Department of Mathematics, Bojnourd Branch (Iran, Islamic Republic of)
Description
In this paper, numerical solution of the FitzHugh–Nagumo (FN) equation is presented based on the nonstandard finite-difference (NSFD) scheme. At first, two exact finite-difference schemes for FN equation are obtained. Moreover, two NSFD schemes are presented for this equation. The positivity, boundedness, and local truncation error of the schemes are discussed. The numerical results obtained by the NSFD schemes are compared with the exact solution and some available methods, to verify the accuracy and efficiency of the NSFD schemes.
Additional details
Identifiers
Publishing Information
- Journal Title
- Computational and Applied Mathematics
- Journal Volume
- 37
- Journal Issue
- 2
- Journal Page Range
- p. 1395-1411
- ISSN
- 0101-8205
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50012558
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- COMPARATIVE EVALUATIONS; ERRORS; EXACT SOLUTIONS; NUMERICAL SOLUTION
- Descriptors DEC
- EVALUATION; MATHEMATICAL SOLUTIONS
Optional Information
- Copyright
- Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matem#Latin Small Letter A With Acute#tica Aplicada e Computacional