A Comparative Study on Modifications of Decomposition Method

Authors

  • Jamshad Ahmad Department of Mathematics, Faculty of Sciences, University of Gujrat Author
  • Madiha Tahir Department of Mathematics, Faculty of Sciences, University of Gujrat Author
  • Liaqat Tahir RACHNA College of Engineering & Technology Gujranwala Author
  • Muhammad Naeem Department of Mathematics, Faculty of Sciences, UET Lahore Author

DOI:

https://doi.org/10.7439/ijasr.v2i8.3484

Abstract

Many mathematical physics models are contributed to give rise to of nonlinear integral equations. In this paper, we study the performance of two recently developed modifications of well known so called Adomian decomposition method applied using Laplace transform to nonlinear Volterra integral equations. Three nonlinear Volterra integral equations are solved analytically by implementing these modifications. From the obtained results, it may be concluded that that the modified techniques are reliable, efficient and easy to use through recursive relations that involve simple integrals. Moreover, these particular examples show the reliability and the performance of proposed modifications.

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Published

01-08-2016

Issue

Vol. 2 No. 8 (2016): Aug

Section

Research Articles

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How to Cite

1.
Ahmad J, Tahir M, Tahir L, Naeem M. A Comparative Study on Modifications of Decomposition Method. Int J of Adv in Sci Res [Internet]. 2016 Aug. 1 [cited 2025 Mar. 14];2(8):157-9. Available from: https://ssjournals.co.in/index.php/ijasr/article/view/3484
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