A new algorithm for fractional Riccati type differential equations by using haar wavelet

M. Motawi Khashan, Rohul Amin, Muhammed I. Syam

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

In this paper, a new collocation method based on Haar wavelet is developed for numerical solution of Riccati type differential equations with non-integer order. The fractional derivatives are considered in the Caputo sense. The method is applied to one test problem. The maximum absolute estimated error functions are calculated, and the performance of the process is demonstrated by calculating the maximum absolute estimated error functions for a distinct number of nodal points. The results show that the method is applicable and efficient.

Original languageEnglish
Article number545
JournalMathematics
Volume7
Issue number6
DOIs
Publication statusPublished - 2019

Keywords

  • Caputo fractional derivative
  • Collocation method
  • Fractional derivative
  • Fractional differential equations
  • Haar wavelet

ASJC Scopus subject areas

  • Mathematics(all)

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