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Daubechies Wavelet Scaling Function Approach to Solve Volterra’s Population Model

Author

Listed:
  • Amjad Alipanah
  • Korosh Arzideh
  • Medina Firouzi
  • A. Kasnazani
  • Marianna A. Shubov

Abstract

In this paper, we focus on a collocation approach based on Daubechies wavelet scaling functions for approximating the solution of Volterra’s model of population growth of a species with a closed system. We present that the integral and derivative terms, which appear in Volterra’s model of the population, will be computed exactly in dyadic points. Utilizing this collocation technique, Volterra’s population model reduces into a system of nonlinear algebraic equations. In addition, an error bound for our method will be explored. The numerical results demonstrate the applicability and accuracy of our method.

Suggested Citation

  • Amjad Alipanah & Korosh Arzideh & Medina Firouzi & A. Kasnazani & Marianna A. Shubov, 2022. "Daubechies Wavelet Scaling Function Approach to Solve Volterra’s Population Model," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-8, September.
    • Handle: RePEc:hin:jijmms:5363646
    DOI: 10.1155/2022/5363646
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    Cited by:

    1. Alipanah, Amjad & Zafari, Mahnaz, 2023. "Collocation method using auto-correlation functions of compact supported wavelets for solving Volterra’s population model," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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