The (1+3)-dimensional Burgers equation and its comparative solutions

Authors:
Bin Lin;Kaitai Li
Affiliations:
School of Information Science and Technology, Zhanjiang Normal University, 524048, Zhanjiang, China and College of Sciences, Xi'an Jiaotong University, 710049, Xi'an, China;School of Information Science and Technology, Zhanjiang Normal University, 524048, Zhanjiang, China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, we will carry out an analytic comparative study between the Adomian decomposition method and the differential transformation method. This is achieved by handling the (1+3)-dimensional Burgers equation. Two numerical simulations have also been carried out to validate and demonstrate efficiency of the two methods.