Application of cubic B-spline collocation method for reaction diffusion Fisher's equation

被引：4
|
作者：
Molavi-Arabshahi, Mahboubeh [1 ]
Shavali-koohshoori, Kowsar [1 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 16844, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2021年 / 9卷 / 01期
关键词：
B-Spline; Collocation; Fisher's equation; PARTIAL-DIFFERENTIAL-EQUATIONS; ALGORITHM; WAVE;
D O I：
10.22034/cmde.2020.35430.1605
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, an effective collocation method based on cubic B-spline has been implemented to get the numerical solutions for the non-linear Fisher's equation. After separating this scheme with this method, the stability of the method was proven. To check the efficiency and accuracy of the proposed method, some numerical problems have been considered. The numerical results are found in good agreement with the exact solutions.
引用
收藏
页码：22 / 35
页数：14
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