摘要
In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson integral formula overexterior circular domain. Meanwhile, the numerical implementation of the natural integral equation is given. At last some numerical examples are presented toillustrate feasibility and efficiency of our method.
In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson integral formula overexterior circular domain. Meanwhile, the numerical implementation of the natural integral equation is given. At last some numerical examples are presented toillustrate feasibility and efficiency of our method.
出处
《计算数学》
CSCD
北大核心
1999年第4期495-506,共12页
Mathematica Numerica Sinica
基金
国家自然科学基金
攀登计划资助
关键词
抛物型问题
自然积分方程
初边值问题
数值解
Parabolic problem, Fourier expansion, Natural boundaryreduction, numerical implementation, Exterior problem
