The Extrapolated Modified Aitken Iteration Method for Solving Elliptic Difference Equations | Zendy

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The Extrapolated Modified Aitken Iteration Method for Solving Elliptic Difference Equations

Author(s) -

David Evans

Publication year - 1963

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/6.2.193

Subject(s) - extrapolation , laplace transform , relaxation (psychology) , mathematics , boundary value problem , variable (mathematics) , laplace's equation , iterative method , mathematical analysis , finite difference method , mathematical optimization , psychology , social psychology

This paper describes a new approach to the extrapolation (over-relaxation) and linear acceleration of the Aitken iterative method, and presents theoretical and experimental evidence concerning its application to 5-point elliptic difference equations. Comparison is made between the performance of the new method and that of existing procedures on a Laplace problem, and on a boundary-value problem in one independent variable.

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