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Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs

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  • Beiglo, H.
  • Gachpazan, M.

Abstract

This paper presents an efficient numerical method for solving nonlinear mixed Volterra- integral equations in the complex plane. The method is based on the fixed point iteration procedure. In each iteration of this method, periodic quasi-wavelets are used as basis functions to approximate the solution. Also, using the Banach fixed point theorem, some results concerning the error analysis are obtained. Finally, some numerical examples show the implementation and accuracy of this method.

Suggested Citation

  • Beiglo, H. & Gachpazan, M., 2020. "Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    • Handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308203
    DOI: 10.1016/j.amc.2019.124828
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    References listed on IDEAS

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    1. Bildik, Necdet & Inc, Mustafa, 2007. "Modified decomposition method for nonlinear Volterra–Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 308-313.
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    4. Erfanian, M. & Gachpazan, M. & Beiglo, H., 2015. "Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 304-312.
    5. Sharma, Vaishali & Setia, Amit & Agarwal, Ravi P., 2018. "Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 338-352.
    6. Yousefi, S. & Razzaghi, M., 2005. "Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 70(1), pages 1-8.
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