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Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule

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  • Adem Kılıçman
  • L. Kargaran Dehkordi
  • M. Tavassoli Kajani

Abstract

The Simpson’s 3/8 rule is used to solve the nonlinear Volterra integral equations system. Using this rule the system is converted to a nonlinear block system and then by solving this nonlinear system we find approximate solution of nonlinear Volterra integral equations system. One of the advantages of the proposed method is its simplicity in application. Further, we investigate the convergence of the proposed method and it is shown that its convergence is of order . Numerical examples are given to show abilities of the proposed method for solving linear as well as nonlinear systems. Our results show that the proposed method is simple and effective.

Suggested Citation

  • Adem Kılıçman & L. Kargaran Dehkordi & M. Tavassoli Kajani, 2012. "Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-16, September.
    • Handle: RePEc:hin:jnlmpe:603463
    DOI: 10.1155/2012/603463
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    Cited by:

    1. Hoang Viet Long & Haifa Bin Jebreen & Stefania Tomasiello, 2020. "Multi-Wavelets Galerkin Method for Solving the System of Volterra Integral Equations," Mathematics, MDPI, vol. 8(8), pages 1-14, August.

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