An Efficient Computation Approach for Abel’s Integral Equations of the Second Kind

  • Rajendra K. Bairwa Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
  • Ajay Kumar Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
  • Devendra Kumar Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
Keywords: Abel’s integral equation of second kind, Laplace transform, q-homotopy analysis transform method

Abstract

This paper presents the application of a new powerful method named as q-homotopy analysis transform method (q-HATM). The q-HATM is a combination of the q-homotopy analysis scheme and the Laplace transform approach and more general than other existing techniques. Abel’s integral equation of the second kind has been solved by using this method. We solve some examples and plot the graphs. The numerical solutions are shown in the form of graphs.

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Published
2020-03-26
How to Cite
K. Bairwa, R., Kumar, A., & Kumar, D. (2020). An Efficient Computation Approach for Abel’s Integral Equations of the Second Kind. Science & Technology Asia, 25(1), 85-94. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/240321
Section
Physical sciences