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Search extension method for multiple solutions of a nonlinear problem

By Chuanmiao Chen and Ziqing Xie

Abstract

AbstractBased on the eigensystem {λj, φj} of −Δ, multiple solutions of nonlinear problem Δu + u3 = 0 min Ω, u = 0 on ϖΩ are approximated. A new method called the search extension method (SEM) composed of three steps is proposed. Numerical examples in a square and the unit circle are presented to show the efficiency of our method

Publisher: Published by Elsevier Ltd.
Year: 2004
DOI identifier: 10.1016/S0898-1221(04)90028-4
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