A three-step method based on Simpson's 3/8 rule for solving system of nonlinear Volterra integral equations

Subject Areas : Applied Mathematics

M. Tavassoli-Kajani ¹ , L. Kargaran-Dehkordi ² , Sh. Hadian-Jazi ³

1 - Department of Mathematics, Islamic Azad University, Khorasgan Branch, Isfahan, Iran.
2 - Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.
3 - Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.

Received: 2015-09-28 Accepted : 2015-09-28 Published : 2013-12-01

Keywords: Block by block method, System of Volterra integral equations, Simpson's 3/8 rule,

Abstract :

This paper proposes a three-step method for solving nonlinear Volterra integralequations system. The proposed method convents the system to a (3 × 3)nonlinear block system and then by solving this nonlinear system we ndapproximate solution of nonlinear Volterra integral equations system. To showthe advantages of our method some numerical examples are presented.

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