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Computational Methods for Solving Linear Fuzzy Volterra Integral Equation

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  • Jihan Hamaydi
  • Naji Qatanani

Abstract

Two numerical schemes, namely, the Taylor expansion and the variational iteration methods, have been implemented to give an approximate solution of the fuzzy linear Volterra integral equation of the second kind. To display the validity and applicability of the numerical methods, one illustrative example with known exact solution is presented. Numerical results show that the convergence and accuracy of these methods were in a good agreement with the exact solution. However, according to comparison of these methods, we conclude that the variational iteration method provides more accurate results.

Suggested Citation

  • Jihan Hamaydi & Naji Qatanani, 2017. "Computational Methods for Solving Linear Fuzzy Volterra Integral Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnljam:v:2017:y:2017:i:1:n:2417195
    DOI: 10.1155/2017/2417195
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    References listed on IDEAS

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    1. T. Allahviranloo & S. Salahshour & M. Homayoun-nejad & D. Baleanu, 2013. "General Solutions of Fully Fuzzy Linear Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. T. Allahviranloo & S. Salahshour & M. Homayoun-nejad & D. Baleanu, 2013. "General Solutions of Fully Fuzzy Linear Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, March.
    3. A. Jafarian & S. Measoomy Nia & S. Tavan, 2012. "A Numerical Scheme to Solve Fuzzy Linear Volterra Integral Equations System," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, July.
    4. A. Jafarian & S. Measoomy Nia & S. Tavan, 2012. "A Numerical Scheme to Solve Fuzzy Linear Volterra Integral Equations System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Safa’ Hamdan & Naji Qatanani & Adnan Daraghmeh, 2019. "Numerical Techniques for Solving Linear Volterra Fractional Integral Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2019(1).
    2. Ahmad Issa & Naji Qatanani & Adnan Daraghmeh, 2020. "Approximation Techniques for Solving Linear Systems of Volterra Integro‐Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).

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