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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Bibliographic Details
Published inFractal and fractional Vol. 6; no. 9; p. 470
Main Authors Hadhoud, Adel R., Abd Alaal, Faisal E., Abdelaziz, Ayman A., Radwan, Taha
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2022
Subjects
Algorithms
Approximation
Calculus
Caputo sense
Collocation methods
Control theory
cubic polynomial spline
Mathematical analysis
Mathematicians
Methods
Numerical analysis
Polynomials
space-fractional Fisher’s equation
Spline functions
von Neumann stability
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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.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6090470