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A numerical method for finding solution of the distributed order time-fractional forced Korteweg-de Vries equation including the Caputo fractional derivative
  • A. Aminataei,
  • mohammadhossein derakhshan
A. Aminataei
K.N. Toosi University of Technology

Corresponding Author:[email protected]

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mohammadhossein derakhshan
K.N.Toosi University of technology
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Abstract

In this paper, for the first time, the distributed order time-fractional forced Korteweg-de Vries equation is studied. We use a numerical method based on the shifted Legendre operational matrix of distributed order fractional derivative with Tau method to find approximate solution of distributed order forced Korteweg-de Vries equation. This shifted Legendre operational matrix of distributed order fractional derivative with Tau method are used to reduce the solution of the distributed order time-fractional forced Korteweg-de Vries equations to a system of algebraic equations. An error analysis and convergence are obtained. Finally, to display the applicability and validity of the numerical method some examples are implemented.
20 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
24 Aug 2020Submission Checks Completed
24 Aug 2020Assigned to Editor
31 Dec 2020Reviewer(s) Assigned
16 Sep 2021Review(s) Completed, Editorial Evaluation Pending
20 Sep 2021Editorial Decision: Revise Major
27 Sep 20211st Revision Received
27 Sep 2021Submission Checks Completed
27 Sep 2021Assigned to Editor
29 Sep 2021Reviewer(s) Assigned
29 Sep 2021Review(s) Completed, Editorial Evaluation Pending
23 Oct 2021Editorial Decision: Accept