Numerical Solution of the Coupled Viscous Burgers’ Equation Using Differential Quadrature Method Based on Fourier Expansion Basis
Numerical Solution of the Coupled Viscous Burgers’ Equation Using Differential Quadrature Method Based on Fourier Expansion Basis作者机构：Department of Mathematics Jimma University Jimma Ethiopia
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2018年第9卷第7期
页 面：821-835页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Differential Quadrature Method Fourier Expansion Coupled Viscous Coupled Viscous Burgers’ Equation Initial and Boundary Conditions
摘 要：The differential quadrature method based on Fourier expansion basis is applied in this work to solve coupled viscous Burgers’ equation with appropriate initial and boundary conditions. In the first step for the given problem we have discretized the interval and replaced the differential equation by the Differential quadrature method based on Fourier expansion basis to obtain a system of ordinary differential equation (ODE) then we implement the numerical scheme by computer programing and perform numerical solution. Finally the validation of the present scheme is demonstrated by numerical example and compared with some existing numerical methods in literature. The method is analyzed for stability and convergence. It is found that the proposed numerical scheme produces a good result as compared to other researcher’s result and even generates a value at the nodes or mesh points that the results have not seen yet.
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