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Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations

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  • E. Fathizadeh
  • R. Ezzati
  • K. Maleknejad

Abstract

We use a computational method based on rational Haar wavelet for solving nonlinear fractional integro-differential equations. To this end, we apply the operational matrix of fractional integration for rational Haar wavelet. Also, to show the efficiency of the proposed method, we solve particularly population growth model and Abel integral equations and compare the numerical results with the exact solutions.

Suggested Citation

  • E. Fathizadeh & R. Ezzati & K. Maleknejad, 2017. "Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, January.
    • Handle: RePEc:hin:jnlmpe:2465158
    DOI: 10.1155/2017/2465158
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    Cited by:

    1. Ayşegül Daşcıoğlu & Serpil Salınan, 2019. "Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations," Mathematics, MDPI, vol. 7(1), pages 1-10, January.

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