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Numerical Discrete-Domain Integral Formulations for Generalized Burger-Fisher Equation
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 1 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 2 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 3 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 4 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 5 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 6 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 7 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 8 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
- 9 Computational Science Program, Addis Ababa University, Arat-Kilo Campus, Addis Ababa, Ethiopia
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Abstract
In this study we use a boundary integral element-based numerical technique to solve the generalized Burger-Fisher equation. The essential feature of this method is the fundamental integral representation of the solution inside the problem domain by means of both the boundary and domain values. The occurrences of domain integrals within the problem arising from nonlinearity as well as the temporal derivative are not avoided or transferred to the boundary. However, unlike the classical boundary element approach, they are resolved within a finite-element-type discrete domain. The utility and correctness of this formulation are proved by comparing the results obtained herein with closed form solutions.
KeywordsBurger-Fisher EquationDomain IntegralsBoundary ElementFinite-Element-Type Discrete DomainBoundary IntegralNumericalNonlinearity
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