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

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Elahi Zaffer; Akram Ghazala; Siddiqi Shahid S.

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Journal: MATHEMATICAL SCIENCES Year:2018 | Volume:12 | Issue:3 Page(s): 185-195

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Title

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

Author(s)

Elahi Zaffer | Akram Ghazala | Siddiqi Shahid S. | Issue Writer Certificate

Keywords

System of Fredholm integro-differential equations

Laguerre polynomials

Collocation method

Abstract

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.

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APA: Copy

Elahi, Zaffer, Akram, Ghazala, & Siddiqi, Shahid S.. (2018). Laguerre approach for solving system of linear Fredholm integro-differential equations. MATHEMATICAL SCIENCES, 12(3), 185-195. SID. https://sid.ir/paper/322707/en

Vancouver: Copy

Elahi Zaffer, Akram Ghazala, Siddiqi Shahid S.. Laguerre approach for solving system of linear Fredholm integro-differential equations. MATHEMATICAL SCIENCES[Internet]. 2018;12(3):185-195. Available from: https://sid.ir/paper/322707/en

IEEE: Copy

Zaffer Elahi, Ghazala Akram, and Shahid S. Siddiqi, “Laguerre approach for solving system of linear Fredholm integro-differential equations,” MATHEMATICAL SCIENCES, vol. 12, no. 3, pp. 185–195, 2018, [Online]. Available: https://sid.ir/paper/322707/en

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