An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics

C.S. Singh, Harendra Singh, Somveer Singh and Devendra Kumar

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1440-1448

Abstract: In this paper, we aim to solve nonlinear system of generalized Abel integral equations arising in astrophysics. The suggested approach is operational matrix technique by using Legendre scaling functions as a basis. Convergence analysis of the suggested technique is provided. Numerical experiments are performed to show the effectiveness of the proposed scheme. The results are shown through figures and tables.

Keywords: Legendre scaling functions; Operational matrices; Generalized Abel integral equations; Convergence analysis (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1440-1448

DOI: 10.1016/j.physa.2019.03.085

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