International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2537

Full Length Research Paper

A two-step Laplace decomposition method for solving nonlinear partial differential equations

H. Jafari1,2*, C. M. Khalique2, M. Khan3 and M. Ghasemi1
1Department of Mathematics, Faculty of Mathematical Science, Mazandaran University, P. O. Box 47415-954, Babolsar, Iran. 2International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa. 3Department of Sciences and Humanities, National University of Computer and Emerging Sciences Islamabad, Pakistan.
Email: [email protected]

  •  Accepted: 24 June 2011
  •  Published: 18 August 2011

Abstract

The Adomian decomposition method (ADM) is an analytical method to solve linear and nonlinear equations and gives the solution a series form. Two-step Adomian decomposition method (TSADM) is a modification on ADM and makes the calculations much simpler. In this paper we combine Laplace transform and TSADM and present a new approach for solving partial differential equations.

 

Key words: Two-step Adomian decomposition method, Laplace decomposition method, Adomian decomposition method.

 

Mathematics subject classification: 47J30, 49S05.