Technical Journal, Vol. 17 No. 4, 2023.
Original scientific paper
https://doi.org/10.31803/tg-20220906123642
Touchard Series for Solving Volterra Integral Equations Form of the Lane-Emdan Equations
Mustapha Dilmi
orcid.org/0000-0002-0092-2967
; Department of Mathematics, College of Mathematics and Computer Science, University of M’sila, PO Box 166 Ichebilia, 28000 M'sila, Algeria
Abstract
This study is concerned by the Collocation method for solving Volterra integral equations form of the Lane-Emden type numerically through the so-called Touchard polynomials, which are essentially binomial polynomials. Where the system of miniature linear equations is solved numerically using the MATALEB program. Then some examples are presented to verify the reliability and effectiveness of the method in addition to the speed of its convergence.
Keywords
Collocation Method; Lane-Emden equation; Touchard polynomials; Volterra integral equations
Hrčak ID:
308672
URI
Publication date:
15.12.2023.
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