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

Theory of Approximation and Applications

مقاله 9، دوره 7، شماره 2، اسفند 2013، صفحه 105-130   

نوع مقاله: Research Articles

نویسندگان

M. Tavassoli-Kajani^{* 1}؛ L. Kargaran-Dehkordi²؛ Sh. Hadian-Jazi²

¹Department of Mathematics, Islamic Azad University, Khorasgan Branch, Isfahan, Iran.

²Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.

چکیده

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

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