• HIGHLY ACCURATE METHOD FOR SOLVING FIRST ORDER HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION IN THREE SPACE DIMENSIONS

Adel Y. Elmekkawy*, M. M. Ramadan, A. Yousef

Abstract


In this paper, we shall develop a new approach to an implicit method for solving the first-order hyperbolic partial differential equation in three 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 Lax-Wendroff method are discussed.


Keywords


Pade` approximation, Restrictive Pade` approximation, finite difference and hyperbolic partial differential equations.

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