A numerical method for solving some model problems arising in science and convergence analysis based on residual function

被引：26
|
作者：
Kurkcu, Omur Kivanc [1 ]
Aslan, Ersin [2 ]
Sezer, Mehmet [1 ]
机构：
[1] Manisa Celal Bayar Univ, Fac Sci, Dept Math, TR-45140 Manisa, Turkey
[2] Manisa Celal Bayar Univ, Turgutlu Vocat Training Sch, Manisa, Turkey
来源：
APPLIED NUMERICAL MATHEMATICS | 2017年 / 121卷
关键词：
Collocation points; Convergence; Dickson polynomials; Matrix method; SCHLOMILCHS INTEGRAL-EQUATION; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; DECOMPOSITION METHOD; OXYGEN DIFFUSION; SPHERICAL CELL; COLLOCATION; DICKSON;
D O I：
10.1016/j.apnum.2017.06.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we solve some widely-used model problems consisting of linear, nonlinear differential and integral equations, employing Dickson polynomials with the parameter-a and the collocation points for an efficient matrix method. The convergence of a Dickson polynomial solution of the model problem is investigated by means of the residual function. We encode useful computer programs for model problems, in order to obtain the precise Dickson polynomial solutions. These solutions are plotted along with the exact solutions in figures and the numerical results are compared with other well-known methods in tables. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：134 / 148
页数：15
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