International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2570

Full Length Research Paper

Evaluating integrals of the form by Adomian decomposition

P. A. Phiri1* and O. D. Makinde2
1Academic Development Centre and Department of Mathematics, Copperbelt University, P. O. Box 21692, Riverside, Kitwe, Zambia. 2Cape Peninsula University of Technology, Faculty of Engineering, Research and Postgraduate Office, P. O. Box 1906, Bellville, 7535, South Africa.
Email: [email protected]

  •  Accepted: 20 January 2012
  •  Published: 16 February 2012

Abstract

This paper considers evaluation of the general class of integrals of the form    using the Adomian decomposition method. This integral is solved in its general form and it is shown that particular values of    of this class of integrals correspond to Mellin and Gaussian integrals whose solutions are easily obtained.

 

Key words: General class of integrals, Adomian decomposition, Mellin integrals, Gaussian integrals.