Numerical Investigation Based on Laguerre Wavelet for Solving the Hunter Saxton Equation

被引：0

作者：

Srinivasa K. ^{[1
]}

Rezazadeh H. ^{[2
]}

Adel W. ^{[3
]}

机构：

[1] Department of Mathematics, Bangalore University, Bengaluru, 560056, Karnataka

[2] Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol

[3] Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura

来源：

International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 5期

关键词：

Collocation method; Hunter Saxton equation; Laguerre; Numerical; Wavelet;

D O I：

10.1007/s40819-020-00890-7

中图分类号：

学科分类号：

摘要：

In this paper, we develop a collocation method for solving nonlinear Hunter Saxton equation using a Laguerre wavelet basis method. Properties of wavelets are presented and then used to convert the problem into a system of nonlinear algebraic equations that can be solved. Convergence analysis for the method is presented. Some test problems are introduced and the results are compared with other relevant studies from the literature. It is shown that the presented method is accurate and efficient compared to other methods. © 2020, Springer Nature India Private Limited.

引用

共 22 条

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