A new class of polynomial functions for approximate solution of generalized Benjamin-Bona-Mahony-Burgers (gBBMB) equations

被引：15
|
作者：
Hajishafieiha, J. [1 ]
Abbasbandy, S. [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Appl Math, Qazvin 3414916818, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 367卷 / 367期
关键词：
Lucas polynomials; Boubaker polynomials; 1D and 2D (gBBMB); Collocation method; Nonlinear system; Quasi linearization; NUMERICAL TREATMENT; LUCAS POLYNOMIALS; 1D;
D O I：
10.1016/j.amc.2019.124765
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new class of polynomial functions equipped with a parameter is used, which is applied to approximate the gBBMB. In this method, the first, time discretization of the gBBMB equations is made by using finite difference approaches. Then, at any spatial point, a nonlinear equations system is generated. Using the collocation points and solving a nonlinear system in the least squares method, the coefficients of functions are obtained. In some examples, a linearization is performed first, and then the collocation method is applied. (C) 2019 Elsevier Inc. All rights reserved.
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页数：14
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