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Original Articles

Restrictive padé approximation and parabolic partial differential equations

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Pages 343-351 | Received 17 Sep 1996, Published online: 19 Mar 2007
 

Abstract

In this paper, we use the restrictive Pade approximation to approximate the exponential matrix exp(rA). The advantage is that it has the exact value at certain r. We define a new accurate, fast implicit method for the finite difference solution of a parabolic partial differential equations. The stability region is discussed, the obtained results are compared with the exact solution and some famous finite difference methods. The numerical results are in satisfactory agreement with the exact solution.

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