Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments | Zendy

Burcu Gürbüz | Zendy; Mehmet Sezer | Zendy; Coşkun Güler | Zendy

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Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments

Author(s) -

Burcu Gürbüz,

Mehmet Sezer,

Coşkun Güler

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/682398

Subject(s) - laguerre polynomials , mathematics , collocation method , fredholm theory , collocation (remote sensing) , algebraic equation , fredholm integral equation , residual , simplicity , differential equation , class (philosophy) , method of mean weighted residuals , scheme (mathematics) , reliability (semiconductor) , orthogonal collocation , integro differential equation , integral equation , matrix (chemical analysis) , mathematical analysis , galerkin method , computer science , ordinary differential equation , nonlinear system , first order partial differential equation , algorithm , physics , materials science , artificial intelligence , composite material , power (physics) , quantum mechanics , machine learning

Laguerre collocation method is applied for solving a class of the Fredholm integro-differential equations with functional arguments. This method transforms the considered problem to a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction method

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