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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 3; Page(s) 185 To 195.

Laguerre approach for solving system of linear Fredholm integro-differential equations

Author(s):  Elahi Zaffer, Akram Ghazala*, Siddiqi Shahid S.
* Department of Mathematics, University of the Punjab, Quaide Azam Campus, Lahore 54590, Pakistan
A numerical scheme has been developed for solving the system of linear Fredholm integro-differential equations subject to the mixed conditions using Laguerre polynomials. Using collocation method, the system of Fredholm integro-differential equations has been transformed to the system of linear equations in unknown Laguerre coefficients, which leads to the solution in terms of Laguerre polynomials. Moreover, the accuracy and applicability of the scheme have been compared with Tau method and Adomian decomposition method that reveals the proposed scheme to be more efficient.
Keyword(s): System of Fredholm integro-differential equations ,Laguerre polynomials ,Collocation method
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