123
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations

&
Pages 2066-2081 | Received 27 Dec 2015, Accepted 20 Jul 2017, Published online: 31 Aug 2017
 

ABSTRACT

This paper proposes a numerical approach to approximate the unknown solution of some high-order fractional partial differential equations. The main idea of this approach is to transform the original problem into an equivalent integral equation that depends only on the boundary values. The linear radial basis functions are used as the main tool for approximating the non-homogeneous terms and time derivative. Also the Caputo's sense is applied to approximate time derivatives. Numerical results demonstrate the order of time steps is O(τ2α) and O(τ3α) when 0<α<1 and 1<α<2, respectively. Finally to overcome the nonlinear terms, predictor–corrector scheme is employed. The efficiency and usefulness of proposed method are demonstrated by some numerical examples.

2000 AMS SUBJECT CLASSIFICATIONS:

Acknowledgments

We would like to thank the two anonymous referees for providing us with constructive comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,129.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.