BLOCK ITERATIVE METHODS FOR ONE DIMENSIONAL NONLINEAR BIHARMONIC PROBLEMS ON A PARALLEL COMPUTER*
作者:
R.K. MOHANTY,
D.J. EVANS,
期刊:
Parallel Algorithms and Applications
(Taylor Available online 1999)
卷期:
Volume 13,
issue 3
页码: 239-263
ISSN:1063-7192
年代: 1999
DOI:10.1080/10637199808947369
出版商: Taylor & Francis Group
关键词: Biharmonic problems;Finite difference method;Block iterative methods;NBSOR method;BSOR method;Parallel computations
数据来源: Taylor
摘要:
In this article, we propose new difference methods of order two and four using three grid points in a coupled manner for solving the one dimensional nonlinear biharmonic problems with specified boundary conditions at the end points. The resulting matrix system is solved by the block iterative methods on a parallel computer. Derivatives of the solution are obtained as a by-product of the methods. Numerical examples are provided to demonstrate the efficiency and accuracy of the methods on both sequential and parallel computations.
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