IJPAM: Volume 78, No. 3 (2012)
METHOD FOR SOLVING A FOURTH-ORDER
PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
Department of Mathematics
Islamic Azad University
Abstract. In this research, the Differential Transformation method (DTM) has been utilized to solve a fourth-order parabolic partial differential equations. This method can be used to obtain the exact solutions of this equation. In the end, some numerical tests are presented to demonstrate the effectiveness and efficiency of the proposed method.
Received: April 22, 2011
AMS Subject Classification: 35K25, 65M70
Key Words and Phrases: differential transformation method, spectral method, parabolic equation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395