An Approximation Method for Solving Burgers’ Equation Using Legendre Wavelets
 作者： S. G. Venkatesh,  S. K. Ayyaswamy,  S. 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 Nature Journal DOI： 10.1007/s40010-016-0326-5 关键词： Burgers’ equation;  Legendre polynomials;  Legendre wavelets;  Legendre wavelet method;  Approximation methods;  Convergence 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.

• 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