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Numerical method for the solution of special nonlinear fourth-order boundary value problems
Journal article   Peer reviewed

Numerical method for the solution of special nonlinear fourth-order boundary value problems

Mohamed El-Gamel, S.H. Behiry and H. Hashish
Applied mathematics and computation, Vol.145(2), pp.717-734
25/12/2003

Abstract

Fourth order Nonlinear Numerical solutions Sinc function Sinc-Galerkin
The sinc-Galerkin method is used to approximate solution of nonlinear problems. This work deals with the sinc-Galerkin method for solving nonlinear fourth-order differential equations with homogeneous and nonhomogeneous boundary conditions. The scheme is tested on three nonlinear problems and a comparison with finite difference methods and fourth-order multiderivative method is made. It is shown that the sinc-Galerkin method yields better results.

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