Analytical solution of the nonlinear diffusion equation

. In the present paper, we derive the solution of the nonlinear fractional partial differential equations using an efficient approach based on the q -homotopy analysis transform method ( q -HATM). The fractional diffusion equations derivatives are considered in Caputo sense. The derived results are...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 133; no. 5; p. 183
Main Authors Shanker Dubey, Ravi, Goswami, Pranay
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Differential equations
Exact solutions
Fourier transforms
Homotopy theory
Laplace transforms
Mathematical analysis
Mathematical and Computational Physics
Methods
Molecular
Optical and Plasma Physics
Partial differential equations
Physics
Physics and Astronomy
Regular Article
Theoretical
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Summary:. In the present paper, we derive the solution of the nonlinear fractional partial differential equations using an efficient approach based on the q -homotopy analysis transform method ( q -HATM). The fractional diffusion equations derivatives are considered in Caputo sense. The derived results are graphically demonstrated as well.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2018-12010-6