Kiranta Kumari, Praveen Kumar Gupta
Department of Mathematics and Statistics
Banasthali University
Banasthali, Rajasthan, 304022, INDIA
Department of Mathematics
National Institute of Technology
Silchar, Assam, 788010, INDIA

Abstract. In this paper, we study the approximate analytical solutions of homogeneous linear PDEs with initial conditions by using the Laplace-Differential Transform method (LDTM) and Padé approximation. It is determined that the method works very well for the wide range of parameters and an excellent agreement is demonstrated and discussed between the approximate solution and the exact one in two examples. This method is capable of greatly reducing the size of computational domain and a few numbers of iterations are required to reach the closed form solutions as series expansions of some known functions.

Received: September 24, 2015

AMS Subject Classification: 41A58, 44A10, 41A21

Key Words and Phrases: LDTM, Linear PDEs, Initial Conditions, Padé-approximation

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