A Cubic Spline Collocation Method to Solve a Nonlinear Space-Fractional Fisher’s Equation and Its Stability Examination
This article seeks to show a general framework of the cubic polynomial spline functions for developing a computational technique to solve the space-fractional Fisher’s equation. The presented approach is demonstrated to be conditionally stable using the von Neumann technique. A numerical illustratio...
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Published in | Fractal and fractional Vol. 6; no. 9; p. 470 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Basel
MDPI AG
01.09.2022
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Subjects | |
Online Access | Get full text |
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Summary: | This article seeks to show a general framework of the cubic polynomial spline functions for developing a computational technique to solve the space-fractional Fisher’s equation. The presented approach is demonstrated to be conditionally stable using the von Neumann technique. A numerical illustration is given to demonstrate the proposed algorithm’s effectiveness. The novelty of the present work lies in the fact that the results suggest that the presented technique is accurate and convenient in solving such problems. |
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ISSN: | 2504-3110 2504-3110 |
DOI: | 10.3390/fractalfract6090470 |