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

摘要

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.