The iterative alternating decomposition explicit (IADE) method to solve second order parabolic equations with periodic boundary conditions

被引：0

作者：

Sahimi, MS ^{[1
]}

Sundararajan, E ^{[1
]}

Hanawi, SA ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Dept Ind Comp, Bangi 43600, Malaysia

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1999年 / 70卷 / 03期

关键词：

Iterative Alternating Decomposition Explicit (IADE) method; parabolic equation; periodic boundary conditions; Mitchell-Fairweather variant;

D O I：

10.1080/00207169908804767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [1] the Iterative Alternating Decomposition Explicit (IADE) method was introduced for the solution of second order parabolic equations in one-space dimension with Dirichlet boundary conditions. Its Versatility as a fast, convergent, stable and highly accurate method is now extended to the parabolic equation with periodic boundary conditions. The new method is shown to retain its high order of accuracy and the special structure of the constituent decomposed matrices reduces substantially its storage requirement.

引用

页码：453 / 465

页数：13

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