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Approximation Techniques for Solving Linear Systems of Volterra Integro‐Differential Equations

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  • Ahmad Issa
  • Naji Qatanani
  • Adnan Daraghmeh

Abstract

In this paper, a collocation method using sinc functions and Chebyshev wavelet method is implemented to solve linear systems of Volterra integro‐differential equations. To test the validity of these methods, two numerical examples with known exact solution are presented. Numerical results indicate that the convergence and accuracy of these methods are in good a agreement with the analytical solution. However, according to comparison of these methods, we conclude that the Chebyshev wavelet method provides more accurate results.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2020:y:2020:i:1:n:2360487
    DOI: 10.1155/2020/2360487
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    References listed on IDEAS

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    1. Jihan Hamaydi & Naji Qatanani, 2017. "Computational Methods for Solving Linear Fuzzy Volterra Integral Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2017(1).
    2. Biazar, J. & Ghazvini, H. & Eslami, M., 2009. "He’s homotopy perturbation method for systems of integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1253-1258.
    3. Jihan Hamaydi & Naji Qatanani, 2017. "Computational Methods for Solving Linear Fuzzy Volterra Integral Equation," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-12, May.
    4. Chandra Guru Sekar, R. & Murugesan, K., 2016. "System of linear second order Volterra integro-differential equations using Single Term Walsh Series technique," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 484-492.
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