International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Differential transform method for solving partial differential equations with variable coefficients

K. R. Raslan1,2, A. Biswas3* and Zain F. Abu Sheer4
1Community College in Riyadh, King Saud University, Saudi Arabia. 2Department of Mathematics, Faculty of Science, Al-Azhar University, Egypt. 3Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA. 4Department of Mathematics, Preparatory Year, Riyadh, King Saud University, Saudi Arabia.
Email: [email protected]

  •  Accepted: 30 January 2012
  •  Published: 23 February 2012

Abstract

In this paper, we consider the differential transform method (DTM) for finding approximate and exact solutions of some partial differential equations with variable coefficients. The efficiency of the considered method is illustrated by some examples. The results reveal that the proposed method is very effective and simple and can be applied for other linear and nonlinear problems in mathematical physics.

 

Key words: Differential transform method; partial differential equations variable coefficients.

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