A computational method for solving two-dimensional linear Volterra integral equations of the first kind | Zendy

Abdelkamel Tari | Zendy; S. Shahmorad | Zendy

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A computational method for solving two-dimensional linear Volterra integral equations of the first kind

Author(s) -

Abdelkamel Tari,

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.2011.02.002

Subject(s) - volterra integral equation , mathematics , volterra equations , integral equation , mathematical analysis , nonlinear system , physics , quantum mechanics

In this paper, the operational Tau method is employed to approximate the solution of two dimensional linear Volterra integral equations of the first kind (2DLVIEF). To this end, we convert the 2DLVIEF to the equivalent equation of the second kind, and then we use the operational approach of the Tau method, with standard base, to convert it to the system of algebraic equations. Finally, some numerical examples are given to clarify the efficiency and accuracy of the presented method

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