Exact solutions of fractional heat-like and wave-like equations with variable coefficients
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 25 February 2014
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