A chebyshev collocation approach to solve fractional fisher–kolmogorov–petrovskii–piskunov equation with nonlocal condition.
Zhou, Dapeng Babaei, Afshin Banihashemi, Seddigheh Jafari, Hossein Alzabut, Jehad Moshokoa, Seithuti P.
Zhou, Dapeng
Babaei, Afshin
Banihashemi, Seddigheh
Jafari, Hossein
Alzabut, Jehad
Moshokoa, Seithuti P.
Citations
Altmetric:
Abstract
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.
Description
Date
2022-02-10
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Research Projects
Organizational Units
Journal Issue
Keywords
Fractional Fisher–Kolmogorov–Petrovskii–Piskunov equation, Collocation scheme, Sixth kind Chebyshev polynomials, Convergence analysis