An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method

This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution of the problem is established by the homotopy perturbation method (HPM). Furthermore, the convergence analysis and the error estimation deriv...

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Bibliographic Details
Published in:Advances in difference equations 2019-06, Vol.2019 (1), p.1-12, Article 252
Main Authors: Sripacharasakullert, Pattira, Sawangtong, Wannika, Sawangtong, Panumart
Format: Article
Language:English
Subjects:
Analysis
Burgers equation
Caputo fractional derivative
Difference and Functional Equations
Error analysis
Exact solutions
Functional Analysis
Homotopy perturbation method
Linear equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Perturbation methods
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Summary:This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution of the problem is established by the homotopy perturbation method (HPM). Furthermore, the convergence analysis and the error estimation derived by the HPM are shown.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2197-y