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A Novel Method for Solving Nonlinear Volterra Integro‐Differential Equation Systems

Author

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  • Mohammad Hossein Daliri Birjandi
  • Jafar Saberi-Nadjafi
  • Asghar Ghorbani

Abstract

An efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro‐differential equations. The scheme is based on a combination of the spectral collocation technique and the parametric iteration method. This method is easy to implement and requires no tedious computational work. Some numerical examples are presented to show the validity and efficiency of the proposed method in comparison with the corresponding exact solutions.

Suggested Citation

  • Mohammad Hossein Daliri Birjandi & Jafar Saberi-Nadjafi & Asghar Ghorbani, 2018. "A Novel Method for Solving Nonlinear Volterra Integro‐Differential Equation Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:3569139
    DOI: 10.1155/2018/3569139
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    References listed on IDEAS

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    1. K. Maleknejad & H. Safdari & M. Nouri, 2011. "Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 195-199.
    2. F. Ghomanjani & A. Kılıçman & S. Effati, 2013. "Numerical Solution for IVP in Volterra Type Linear Integrodifferential Equations System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. F. Ghomanjani & A. Kılıçman & S. Effati, 2013. "Numerical Solution for IVP in Volterra Type Linear Integrodifferential Equations System," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-4, September.
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    Cited by:

    1. M. H. Daliri Birjandi & J. Saberi-Nadjafi & A. Ghorbani, 2018. "An Efficient Numerical Method for a Class of Nonlinear Volterra Integro‐Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2018(1).

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