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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1016/0166-9834(91)85088-d

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1572-9265

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Extrapolation algorithms for solving nonlinear bou

Authors: Pan Cheng Jin Huang
Publish Date: 2011/05/21
Volume: 58, Issue: 4, Pages: 545-554
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Abstract

We study the numerical solution procedure for twodimensional Laplace’s equation subjecting to nonlinear boundary conditions Based on the potential theory the problem can be converted into a nonlinear boundary integral equations Mechanical quadrature methods are presented for solving the equations which possess high accuracy order Oh 3 and low computing complexities Moreover the algorithms of the mechanical quadrature methods are simple without any integration computation Harnessing the asymptotical compact theory and Stepleman theorem an asymptotic expansion of the errors with odd powers is shown Based on the asymptotic expansion the h 3 −Richardson extrapolation algorithms are used and the accuracy order is improved to Oh 5 The efficiency of the algorithms is illustrated by numerical examples

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