Compare Adomian Decomposition Method and Laplace Decomposition Method for Burger's-Huxley and Burger's-Fisher equations

International Journal of Mathematical Modelling & Computations

مقاله 2، دوره 8، 4 (FALL) - شماره پیاپی 32، بهمن 2018، صفحه 217-226   

نوع مقاله: Full Length Article

نویسنده

seyyed mahmood mirzaei^*

Islamic Azad University, Minoodasht Branch, Iran

چکیده

In this paper, Adomian decomposition method (ADM) and Laplace decomposition method (LDM) used to obtain series solutions of Burgers-Huxley and Burgers-Fisher Equations. In ADM the algorithm is illustrated by studying an initial value problem and LDM is based on the application of Laplace transform to nonlinear partial differential equations. In ADM only few terms of the expansion are required to obtain the approximate solution which is found to be accurate and effcient and in LDM does not need linearization, weak nonlinearity assumptions, or perturbation theory. These methods are used to solve the examples and the results are presented in the tables.

کلیدواژه‌ها

ADM؛ LDM؛ Burger's-Huxley Equation؛ Burger's-Fisher Equation