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Title
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A Chebyshev Collocation Approach to Solve Fractional Fisher–Kolmogorov–Petrovskii–Piskunov Equation with Nonlocal Condition
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Type
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JournalPaper
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Keywords
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fractional Fisher–Kolmogorov–Petrovskii–Piskunov equation; collocation scheme; sixthkind Chebyshev polynomials; convergence analysis
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Abstract
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We provide a detailed description of a numerical approach that makes use of the shifted Chebyshev polynomials of the sixth kind to approximate the solution of some fractional order differential equations. Specifically, we choose the fractional Fisher–Kolmogorov–Petrovskii–Piskunov equation (FFKPPE) to describe this method. We write our approximate solution in the product form, which consists of unknown coefficients and shifted Chebyshev polynomials. To compute the numerical values of coefficients, we use the initial and boundary conditions and the collocation technique to create a system of equations whose number matches the unknowns. We test the applicability and accuracy of this numerical approach using two examples.
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Researchers
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Seithuti P. Moshokoa (Not In First Six Researchers), Jehad Alzabut (Fifth Researcher), Hossein Jafari (Fourth Researcher), ُSeddighe Banihashemi (Third Researcher), Afshin Babaei (Second Researcher), Dapeng Zhou (First Researcher)
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