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解Burgers方程的混合有限解析法
引用本文:陆君安,陈桂兴,石岗. 解Burgers方程的混合有限解析法[J]. 武汉大学学报(工学版), 1990, 0(Z1)
作者姓名:陆君安  陈桂兴  石岗
作者单位:武汉水利电力学院基础科学系(陆君安,陈桂兴),武汉水利电力学院基础科学系(石岗)
摘    要:本文利用对时间差分,对空间一维单元内线化常微分方程求局部解析解的方法,建立了Bur-gers方程的混合有限解析格式,证明了这一格式的某些性质。实算表明有很好的精度与稳定性。

关 键 词:混合  Burgers方程

Hybrid Finite Analytic Method For Solving Burgers Equation
Lu Junan, Chen Guixing, Shi Gang. Hybrid Finite Analytic Method For Solving Burgers Equation[J]. Engineering Journal of Wuhan University, 1990, 0(Z1)
Authors:Lu Junan   Chen Guixing   Shi Gang
Affiliation:Lu Junan; Chen Guixing; Shi Gang
Abstract:In this paper, the unsteady term in Burgers Equation is approximated by a simple difference formula, and the nonlinear term is linearized locally. Using exact Solution in local element for linearized equation, the Hybrid FAM schemes for solving Burgers Equation are established. Some theoretical properties of these schemes are proved. Several Numerical Examples are presented. The accuracy and stability of computational results are significanty good.
Keywords:hybrid  Burgers equation  
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