Sinc-Galerkin method for solving hyperbolic partial differential equations

Abstract

In this work, we consider the hyperbolic equations to determine the approximate solutions via Sinc-Galerkin Method (SGM). Without any numerical integration, the partial differential equation transformed to an algebraic equation system. For the numerical calculations, Maple is used. Several numerical examples are investigated and the results determined from the method are compared with the exact solutions. The results are illustrated both in the table and graphically.

Keywords

• Sinc basis function
• Linear matrix system
• LU-decomposition method
• Maple.