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Higher order Haar wavelet method for numerical solution of integral equations

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Abstract

Higher order Haar wavelet method (HOHWM) is applied to integral equations of the second kind. Both Fredholm and Volterra types’ integral equations are considered. The method is applied to nonlinear problems as well. Second- and fourth-order convergence orders are observed in case of HOHWM which is an improvement over the Haar wavelet method (HWM) with first-order convergence only.

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Authors and Affiliations

  1. Department of Mathematics, University of Peshawar, Peshawar, Pakistan

    Shumaila Yasmeen & Rohul Amin

  2. Department of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan

    Siraj-ul-Islam

Authors
  1. Shumaila Yasmeen
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  2. Siraj-ul-Islam
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  3. Rohul Amin
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Correspondence to Siraj-ul-Islam.

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Communicated by Hui Liang.

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Yasmeen, S., Siraj-ul-Islam & Amin, R. Higher order Haar wavelet method for numerical solution of integral equations. Comp. Appl. Math. 42, 147 (2023). https://doi.org/10.1007/s40314-023-02283-0

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  • DOI: https://doi.org/10.1007/s40314-023-02283-0

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