数学
伯格斯方程
伽辽金法
有限元法
数学分析
常微分方程
曲柄-尼科尔森法
偏微分方程
数值分析
应用数学
微分方程
物理
热力学
标识
DOI:10.1016/j.amc.2003.08.037
摘要
A Galerkin finite element method is presented for the numerical solution of Burgers' equation. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is found via a Crank–Nicolson approach involving a product approximation. It is shown that this method is capable of solving Burgers' equation accurately for a wide range of viscosity values. The results show that the new method performs better than the most of the methods available in the literature.
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