RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS

Document Type : Original Article

Authors

1 Benha Higher Institute of Technology, Benha, Egypt.

2 Dept of Math. Faculty of Education, Ain Shams University.

Abstract

In this paper, we shall develop a new approach to an implicit method for solving the first-order hyperbolic systems in two space dimensions. The suggested method gives highly accurate result. The stability condition and the advantages of the considered method compared with the classical methods as Crank-Nicolson method are discussed.

Keywords