International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

A reliable algorithm for physical problems

Muhammad Usman1, Ahmet Yildirim2 and Syed Tauseef Mohyud-Din3*
1Department of Mathematics, University of Dayton, 300 College Park, Dayton, OH 45469-2316, USA. 2Department of Mathematics, Ege University, 35100 Bornova –Ä°zmir, Turkey. 3Department of Mathematics, HITEC University, Taxila Cantt, Pakistan.
Email: [email protected]

  •  Published: 04 January 2011

Abstract

This paper gives a detailed and comprehensive study of a reliable algorithm which is called the Modified Decomposition Method (MDM) and is mainly due to Geijji and Jafari to solve linear and nonlinear problems of physical nature. It has been shown that the MDM is very easy to implement and is fully compatible with the nonlinear nature of the physical problems. Moreover, this algorithm is independent of the inbuilt deficiencies of most of the previous techniques. Several examples are given to re-confirm the reliability and efficiency of the algorithm.

 

Key words: Modified decomposition method, partial differential equations, nonlinear problems.