An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics. (English) Zbl 07565883
Summary: 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.
MSC:
| 82-XX | Statistical mechanics, structure of matter |
Keywords:
Legendre scaling functions; operational matrices; generalized Abel integral equations; convergence analysisReferences:
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