Physics Journal
Articles Information
Physics Journal, Vol.2, No.2, Mar. 2016, Pub. Date: Jan. 12, 2016
A Reduced Differential Transform Method for Solving the Advection and the Heat-Like Equations
Pages: 84-87 Views: 1003 Downloads: 1209
Authors
[01] S. Kanzari, National Research Institute for Rural Engineering, Water and Forestry, INRGREF, University of Carthage, Ariana, Tunisia.
[02] S. Ben Mariem, National Research Institute for Rural Engineering, Water and Forestry, INRGREF, University of Carthage, Ariana, Tunisia.
[03] H. Sahraoui, National Research Institute for Rural Engineering, Water and Forestry, INRGREF, University of Carthage, Ariana, Tunisia.
Abstract
In this study, we apply Reduced Differential Transform Method (RDTM) for solving partial differential equations in different dimensions with variable coefficients. RDTM is employed to obtain the exact solution of simple homogeneous advection and heat-like equations. The RDTM produces a solution with few and easy computation. The method is simple, accurate and efficient.
Keywords
Reduced Differential Transform Method, Advection Equation, Heat-Like Equations, Analytic Solutions
References
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