Search extension method for multiple solutions of a nonlinear problem
Based on the eigensystem {lambda(j),phi(j)} of -Delta, multiple solutions of nonlinear problem Deltau + u(3) = 0 in Omega, u = 0 on partial derivativeOmega 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. (C) 2004 Elsevier Ltd. All rights reserved.
search extension multiple solutions nonlinear problem