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Explicit block iterative method for the solution of the biharmonic equation
Author(s) -
Yousif W. S.,
Evans D. J.
Publication year - 1993
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690090102
Subject(s) - biharmonic equation , mathematics , block (permutation group theory) , relaxation (psychology) , iterative method , scheme (mathematics) , successive over relaxation , mathematical analysis , algorithm , mathematical optimization , geometry , local convergence , boundary value problem , psychology , social psychology
We develop an iterative algorithm for the solution of a finite difference approximation of the biharmonic equation over a rectangular region by using the explicit block iterative method, i.e., box over relaxation scheme. The 4‐ and 9‐point explicit blocks were considered and performance results for the two algorithms are presented.© 1993 John Wiley & Sons, Inc.