Efficient sustainable algorithm for numerical solutions of systems of fractional order differential equations by Haar wavelet collocation method

Thabet Abdeljawad, Rohul Amin, Kamal Shah, Qasem Al-Mdallal, Fahd Jarad

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)

Abstract

This manuscript deals a numerical technique based on Haar wavelet collocation which is developed for the approximate solution of some systems of linear and nonlinear fractional order differential equations (FODEs). Based on these techniques, we find the numerical solution to various systems of FODEs. We compare the obtain solution with the exact solution of the considered problems at integer orders. Also, we compute the maximum absolute error to demonstrate the efficiency and accuracy of the proposed method. For the illustration of our results we provide four test examples. The experimental rates of convergence for different number of collocation point is calculated which is approximately equal to 2. Fractional derivative is defined in the Caputo sense.

Original languageEnglish
Pages (from-to)2391-2400
Number of pages10
JournalAlexandria Engineering Journal
Volume59
Issue number4
DOIs
Publication statusPublished - Aug 2020

Keywords

  • Approximate solution
  • Collocation method
  • Fractional differential equations
  • Haar wavelet

ASJC Scopus subject areas

  • Engineering(all)

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