CAS Wavelet Picard Technique for Burger’s–Huxley and Burgers Equation

被引：1

作者：

Gilani K. ^{[1
]}

Saeed U. ^{[2
]}

机构：

[1] School of Natural Sciences, National University of Sciences and Technology (NUST), Sector H-12, Islamabad

[2] NUST Institute of Civil Engineering, National University of Sciences and Technology (NUST), Sector H-12, Islamabad

来源：

International Journal of Applied and Computational Mathematics | 2018年 / 4卷 / 5期

关键词：

Burgers equation; Burgers–Huxley equation; CAS wavelet; Operational matrices; Picard;

D O I：

10.1007/s40819-018-0565-z

中图分类号：

学科分类号：

摘要：

In this paper, solutions of generalized Burger’s–Huxley equation and Burgers equation are proposed through a numerical method. The method is developed by using CAS wavelet in conjunction with Picard technique. Operational matrices for CAS wavelet are derived and constructed. The implementation procedure is provided. Error analysis and convergence of present method is also presented. The results of the CAS wavelet Picard method are compared with results from some well known methods which support the accuracy, efficiency and validity of the CAS wavelet Picard scheme. © 2018, Springer Nature India Private Limited.

引用

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