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 ( Department of Mathematics, Islamic Azad University, Khorasgan Branch, Isfahan, Iran. )
L. Kargaran-Dehkordi ² ( Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran. )
Sh. Hadian-Jazi 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:

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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