The exponential cubic B-spline algorithm for Fisher equation

被引：40
|
作者：
Dag, Idiris [1 ]
Ersoy, Ozlem [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Dept Math Comp, Fac Sci & Art, Eskisehir, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2016年 / 86卷
关键词：
Collocation methods; Exponential cubic B-spline; Fisher's equation; NUMERICAL-SOLUTION; WAVE;
D O I：
10.1016/j.chaos.2016.02.031
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, exponential B-spline collocation method is set up for solving Fisher's equation. Integration of Fisher's equation is managed by use of the exponential cubic B-spline in space and the Crank-Nicolson method in time. The effect of reaction and diffusion is observed by studying three test problems. A comparison is performed between the obtained numerical results and some earlier results using Loo and relative error norms. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：101 / 106
页数：6
相关论文
共 50 条
  • [1] An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers' equation
    Hepson, Ozlem Ersoy
    Dag, Idris
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (04): : 1109 - 1127
  • [2] Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method
    Dag, I.
    Ersoy, O.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [3] A B-spline algorithm for the numerical solution of Fisher's equation
    Sahin, Ali
    Dag, Idris
    Saka, Buelent
    KYBERNETES, 2008, 37 (1-2) : 326 - 342
  • [4] Extended modified cubic B-spline algorithm for nonlinear Fisher's reaction-diffusion equation
    Shukla, H. S.
    Tamsir, Mohammad
    ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (03) : 2871 - 2879
  • [5] An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers' equation
    Tamsir, Mohammad
    Srivastava, Vineet K.
    Jiwari, Ram
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 : 111 - 124
  • [6] The Exponential Cubic B-Spline Collocation Method for the Kuramoto-Sivashinsky Equation
    Ersoy, Ozlem
    Dag, Idiris
    FILOMAT, 2016, 30 (03) : 853 - 861
  • [7] Application of cubic B-spline collocation method for reaction diffusion Fisher's equation
    Molavi-Arabshahi, Mahboubeh
    Shavali-koohshoori, Kowsar
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 22 - 35
  • [8] Exponential Twice Continuously Differentiable B-Spline Algorithm for Burgers’ Equation
    O. Ersoy
    I. Dag
    N. Adar
    Ukrainian Mathematical Journal, 2018, 70 : 906 - 921
  • [9] Exponential Twice Continuously Differentiable B-Spline Algorithm for Burgers' Equation
    Ersoy, O.
    Dag, I.
    Adar, N.
    UKRAINIAN MATHEMATICAL JOURNAL, 2018, 70 (06) : 906 - 921
  • [10] Solving Buckmaster Equation Using Cubic B-Spline And Cubic Trigonometric B-Spline Collocation Methods
    Chanthrasuwan, Maveeka
    Asri, Nur Asreenawaty Mohd
    Abd Hamid, Nur Nadiah
    Abd Majid, Ahmad
    Azmi, Amirah
    PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
12345