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.
Molavi-Arabshahi, M. and Shavali-koohshoori, K. (2021). Application of cubic B-spline collocation method for reaction diffusion Fisher's equation. Computational Methods for Differential Equations, 9(1), 22-35. doi: 10.22034/cmde.2020.35430.1605
MLA
Molavi-Arabshahi, M. , and Shavali-koohshoori, K. . "Application of cubic B-spline collocation method for reaction diffusion Fisher's equation", Computational Methods for Differential Equations, 9, 1, 2021, 22-35. doi: 10.22034/cmde.2020.35430.1605
HARVARD
Molavi-Arabshahi, M., Shavali-koohshoori, K. (2021). 'Application of cubic B-spline collocation method for reaction diffusion Fisher's equation', Computational Methods for Differential Equations, 9(1), pp. 22-35. doi: 10.22034/cmde.2020.35430.1605
CHICAGO
M. Molavi-Arabshahi and K. Shavali-koohshoori, "Application of cubic B-spline collocation method for reaction diffusion Fisher's equation," Computational Methods for Differential Equations, 9 1 (2021): 22-35, doi: 10.22034/cmde.2020.35430.1605
VANCOUVER
Molavi-Arabshahi, M., Shavali-koohshoori, K. Application of cubic B-spline collocation method for reaction diffusion Fisher's equation. Computational Methods for Differential Equations, 2021; 9(1): 22-35. doi: 10.22034/cmde.2020.35430.1605
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