To read this content please select one of the options below:

(excl. tax) 30 days to view and download

Exact solutions of fractional heat-like and wave-like equations with variable coefficients

Bo Tang, Xuemin Wang, Leilei Wei, Xindong Zhang

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 25 February 2014

241

Abstract

Purpose

This paper aims to apply fractional variational iteration method using He's polynomials (FVIMHP) to obtain exact solutions for variable-coefficient fractional heat-like and wave-like equations with fractional order initial and boundary conditions.

Design/methodology/approach

The approach is based on FVIMHP. The authors choose as some examples to illustrate the validity and the advantages of the method.

Findings

The results reveal that the FVIMHP method provides a very effective, convenient and powerful mathematical tool for solving fractional differential equations.

Originality/value

The variable-coefficient fractional heat-like and wave-like equations with fractional order initial and boundary conditions are solved first. Illustrative examples are included to demonstrate the validity and applicability of the method.

Keywords

Acknowledgements

This work is supported by the NSF of China (No. 10971166).

Citation

Tang, B., Wang, X., Wei, L. and Zhang, X. (2014), "Exact solutions of fractional heat-like and wave-like equations with variable coefficients", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 2, pp. 455-467. https://doi.org/10.1108/HFF-05-2012-0106

Publisher

:

Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

Related articles