Numerical Discrete-Domain Integral Formulations for Generalized Burger-Fisher Equation

• 作者: Beruk Minale Bethelhem Mengistu Computational Science and Dynamics Systems Group Fikru Habtamu Getenet Tamiru Nahom Alemseged Okey Oseloka Onyejekwe Tesfaye Amha Yohaness Demiss
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Burger-Fisher Equation DOMAIN INTEGRALS BOUNDARY Element Finite-Element-Type Discrete DOMAIN BOUNDARY Integral Numerical NONLINEARITY
• 年，卷（期）: 2020,（3）
• 页码范围: 137-145
• 页数: 9页
• 分类号: O17

摘要

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.