An Approximation Method for Solving Burgers’ Equation Using Legendre Wavelets
作者: S. G. VenkateshS. K. AyyaswamyS. Raja Balachandar
作者单位: 1SASTRA University
刊名: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017, Vol.87 (2), pp.257-266
来源数据库: Springer Journal
DOI: 10.1007/s40010-016-0326-5
关键词: Burgers’ equationLegendre polynomialsLegendre waveletsLegendre wavelet methodApproximation methodsConvergence analysis
英文摘要: In this paper, we study the solution of the Burgers’ equation, a non-linear Partial Differential equation, using Legendre wavelets based technique. Burgers’ equation is an essential partial differential equation from fluid mechanics and is also used extensively in other areas of engineering such as gas dynamics, traffic flow modeling, acoustic wave propagation, and so on. The method is based on the function approximation so that that the connection coefficients can be identified easily and the series is the approximate solution or in closed form is the exact solution. Illustrative examples have been demonstrated to promote validity and applicability of the proposed method.
原始语种摘要: In this paper, we study the solution of the Burgers’ equation, a non-linear Partial Differential equation, using Legendre wavelets based technique. Burgers’ equation is an essential partial differential equation from fluid mechanics and is also used extensively in other areas of engineering such as gas dynamics, traffic flow modeling, acoustic wave propagation, and so on. The method is based on the function approximation so that that the connection coefficients can be identified easily and the series is the approximate solution or in closed form is the exact solution. Illustrative examples have been demonstrated to promote validity and applicability of the proposed method.
全文获取路径: Springer  (合作)
分享到:

×
关键词翻译
关键词翻译
  • equation 方程
  • solution 溶液
  • applicability 适用性
  • easily 容易地
  • connection 连接
  • wavelet 波涟
  • approximate 近似的
  • based 基于
  • method 方法
  • other 别的