On the approximate solutions for system of fractional integro-differential equations using chebyshev pseudo-spectral method

Mohamed Khader, N. H. Sweilam

Research output: Contribution to journalJournal articlepeer-review

47 Scopus citations

Abstract

In this paper, we implement Chebyshev pseudo-spectral method for solving numerically system of linear and non-linear fractional integro-differential equations of Volterra type. The proposed technique is based on the new derived formula of the Caputo fractional derivative. The suggested method reduces this type of systems to the solution of system of linear or non-linear algebraic equations. We give the convergence analysis and derive an upper bound of the error for the derived formula. To demonstrate the validity and applicability of the suggested method, some test examples are given. Also, we present a comparison with the previous work using the homotopy perturbation method.

Original languageEnglish
Pages (from-to)9819-9828
Number of pages10
JournalApplied Mathematical Modelling
Volume37
Issue number24
DOIs
StatePublished - 15 Dec 2013

Keywords

  • Caputo fractional derivative
  • Chebyshev pseudo-spectral method
  • Convergence analysis
  • Systems of fractional integro-differential equations of Volterra type

Fingerprint

Dive into the research topics of 'On the approximate solutions for system of fractional integro-differential equations using chebyshev pseudo-spectral method'. Together they form a unique fingerprint.

Cite this