An operational approach with Pade approximant for the numerical solution of non-linear Fredholm integro-differential equations | Zendy

Ali Khani | Zendy; S. Shahmorad | Zendy

Open Access

An operational approach with Pade approximant for the numerical solution of non-linear Fredholm integro-differential equations

Author(s) -

Ali Khani,

S. Shahmorad

Publication year - 2012

Publication title -

scientia iranica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.299

H-Index - 51

eISSN - 2345-3605

pISSN - 1026-3098

DOI - 10.1016/j.scient.2012.10.038

Subject(s) - padé approximant , mathematics , fredholm theory , fredholm integral equation , simple (philosophy) , differential equation , numerical analysis , adomian decomposition method , mathematical analysis , integral equation , philosophy , epistemology

In this paper we extend the operational Adomian–Tau method with Pade approximant for the numerical solution of non-linear Fredholm integro-differential equations. To this end, we will present our method based on two simple matrices. Then unknown solution of the considered equation will be determined by using computational aspects of these matrices. Also we will use Pade approximant to improve accuracy of the method. Finally we demonstrate the method by numerical examples

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