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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

New Approach to Compute Integral Transforms

A. Adawi and F. Awawdeh

Abstract

Integral transforms find special applicability within scientific and mathematical disciplines. A powerful and efficient homotopy methodology in evaluating integrals arises in integral transforms was presented. The method depends on solving a related first order linear differential equation by homotopy analysis method HAM. The Laplace transform, Fourier transform and the moment generating function of the standard normal distribution were used as test examples to show the efficiency of the method. The results obtained justify the advantage of this methodology. MATLAB 7 was used to carry out the computations.

Journal of Mathematics and Statistics
Volume 4 No. 2, 2008, 94-97

DOI: https://doi.org/10.3844/jmssp.2008.94.97

Submitted On: 7 February 2008 Published On: 30 June 2008

How to Cite: Adawi, A. & Awawdeh, F. (2008). New Approach to Compute Integral Transforms. Journal of Mathematics and Statistics, 4(2), 94-97. https://doi.org/10.3844/jmssp.2008.94.97

Open AccessCopyright: © 2008 A. Adawi and F. Awawdeh. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Homotopy analysis method
  • integral transforms