Decomposition method for fractional partial differential equation (PDEs) using Laplace transformation
Author(s) -
Imran Naveed,
Tauseef Mohyud Din Syed
Publication year - 2013
Publication title -
international journal of the physical sciences
Language(s) - English
Resource type - Journals
ISSN - 1992-1950
DOI - 10.5897/ijps12.727
Subject(s) - laplace transform , partial differential equation , laplace's equation , first order partial differential equation , mathematics , laplace transform applied to differential equations , context (archaeology) , green's function for the three variable laplace equation , burgers' equation , fractional calculus , method of characteristics , mathematical analysis , transformation (genetics) , chemistry , biochemistry , gene , paleontology , biology
In this Paper, we propose an efficient combination for the solution of partial differential equations (PDEs). In a similar context, decomposition coupled with Laplace transform is applied to solve partial differential equations of fractional order. It is observed that the proposed technique is highly suitable for such problems. The results of the proposed scheme are highly encouraging and efficient. It is also observed that same may be extended to other partial differential equations also. Key words: Laplace transformation method, fractional differential equations, wave equation, burgers equation, fluid mechanics.
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