An Explicit Solution of Burgers’ Equation with Special Kinematic Viscosity Using Decomposition Technique
Pure and Applied Mathematics Journal
Volume 2, Issue 3, June 2013, Pages: 134-139
Received: Jun. 23, 2013;
Published: Jul. 10, 2013
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Bolujo Joseph Adegboyegun, School of Mathematics and applied Statistics, Faculty of Informatics, University of Wollongong, Australia
In this article, Adomian’s Decomposition Method (ADM) is employed to approximate the solution of Burgers’ equationwhich is one-dimensional non-linear differential equations in fluid dynamics. The exact solution for Burger’s equation with low kinematic viscosity does not exist in the literatures.Thus, we obtained an explicit solution for this special case. We compared our solution using ADM with the exact solution and the existing numerical solution while .We found out that ADM converges very rapidly to the exact solution and performed better than the existing numerical method.
Bolujo Joseph Adegboyegun,
An Explicit Solution of Burgers’ Equation with Special Kinematic Viscosity Using Decomposition Technique, Pure and Applied Mathematics Journal.
Vol. 2, No. 3,
2013, pp. 134-139.
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