Laplace Transform-Chebyshev Collocation method for solving Third-Order Multi-point Boundary value problems

Abstract

In this paper, a new method for the approximate and exact solutions of third-order multi-point boundary value problems is presented. In this method a new trial solution is constructed by the Laplace transform method which is later substituted into the original equation to obtain the residual equation. The new method is tested on linear and nonlinear multi-point problems and the computational results obtained are reported. The result obtained are also compared with solutions of other existing methods in the Mathematics literature to show the accuracy and computational efficiency of the method.