The variational iteration method for a reliable treatment of the linear and the nonlinear Goursat problem

摘要

The linear and the nonlinear Goursat problems are investigated. The He’s variational iteration method (VIM) is used to construct exact solutions to these problems. The linear and the nonlinear structures are handled in a like manner without any need to restrictive assumptions. The accuracy level of the obtained results reveal the power of this method over existing numerical methods.