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

页码：22 / 35

页数：14

共 50 条

[1] Numerical study of reaction diffusion Fisher’s equation by fourth order cubic B-spline collocation method
Rajni Rohila
R. C. Mittal
[J]. Mathematical Sciences, 2018, 12 : 79 - 89
[2] Numerical study of reaction diffusion Fisher's equation by fourth order cubic B-spline collocation method
Rohila, Rajni
Mittal, R. C.
[J]. MATHEMATICAL SCIENCES, 2018, 12 (02) : 79 - 89
[3] Numerical solutions of nonlinear Fisher's reaction–diffusion equation with modified cubic B-spline collocation method
Mittal R.C.
Jain R.K.
[J]. Mathematical Sciences, 2013, 7 (1)
[4] High Order Compact Cubic B-spline Collocation Method for the Solution of Fisher’s Equation
Singh S.
Singh S.
Bhatt S.
[J]. International Journal of Applied and Computational Mathematics, 2021, 7 (6)
[5] A collocation technique based on modified form of trigonometric cubic B-spline basis functions for Fisher's reaction-diffusion equation
Dhiman, Neeraj
Tamsir, Mohammad
[J]. MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES, 2018, 14 (05) : 923 - 939
[6] Numerical solution of nonlinear diffusion advection Fisher equation by fourth-order cubic B-spline collocation method
Tiwari, Shubham Kumar
Ghosh, Pradyumna
Chopra, Manish
Das, Subir
[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2024, 104 (04):
[7] Extended modified cubic B-spline algorithm for nonlinear Fisher's reaction-diffusion equation
Shukla, H. S.
Tamsir, Mohammad
[J]. ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (03) : 2871 - 2879
[8] The Extended B-Spline Collocation Method for Numerical Solutions of Fisher Equation
Ersoy, O.
Dag, I.
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
[9] Trigonometric cubic B-spline collocation algorithm for numerical solutions of reaction–diffusion equation systems
Aysun Tok Onarcan
Nihat Adar
Idiris Dag
[J]. Computational and Applied Mathematics, 2018, 37 : 6848 - 6869
[10] Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method
Dag, I.
Ersoy, O.
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648

← 1 2 3 4 5 →