Contemporary review of techniques for the solution of nonlinear Burgers equation |
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| Authors: | S. Dhawan S. Kapoor S. Kumar S. Rawat |
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| Affiliation: | 1. Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, India;2. Department of Mathematics, Indian Institute of Technology, Roorkee, India;3. Department of Mathematics, Galgotias University, Greater Noida, India;1. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria;2. Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States;1. School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China;2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China;3. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada;4. China Medical University, Taichung 40402, Taiwan, Republic of China |
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| Abstract: | In the present paper, a comprehensive review of the different techniques used for solving the Burgers equation has been presented along with the recent progress going in finding its solution. The main objective of this paper is not only to present a proper assessment of the previous work but also to provide readers with all fruitful existing information that can help in numerical solution of the Burgers equation, which is otherwise difficult to solve under certain assumptions. Comments are supplied with each reference cited, in order to briefly summarize the objectives of the specific analysis and the important results therein. In addition, a brief discussion of a contribution by the authors in this field has also been presented at the end. |
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