Solution of variable order nonlinear fractional differential equations using Haar wavelet collocation technique
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] pracownik
2023
artykuł naukowy
angielski
- Fractional calculus
- Variable-order fractional differential equations
- Haar wavelet
- Caputo fractional derivatives
EN A numerical method for the solution of nonlinear variable-order fractional differential equations (FDEs) is proposed in this article. To determine the numerical solution of nonlinear variable order FDEs, we used the Haar wavelet collocation method (HWCM) with a combination of Caputo fractional derivatives. For checking the efficiency of the HWCM, some examples are given. The maximum absolute error and mean square root errors of each test problem is computed for a different number of collocation points to check the validity and applicability of the presented technique. The comparison of the exact and approximate solution is shown in figures for various numbers of collocation points.
2340022-1 - 2340022-9
Article Number: 2340022
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