Haar Collocations Method for Nonlinear Variable Order Fractional Integro-Differential Equations
[ 1 ] Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ 2 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ SzD ] doktorant ze Szkoły Doktorskiej | [ P ] pracownik
2023
artykuł naukowy
angielski
- Fractional calculus
- Gauss elimination method
- Haar wavelet
- numerical approximation
EN Variable order integrations and differentiations are the natural extensions of the corresponding usual operators. The idea was first introduced by Samko and his coauthors. Due to the importance of the said area, we consider a class of fractional integro-differential equations(FIDEs) under the variable order (VO) differentiation. Our investigation is related to numerical solution. For the said results, we utilize Haar collocation method (HCM). The concerned method has a convergence rate of order two and itself based on Broydens technique. Various examples are testified by using the said techniques. Numerical interpretations are done by using Matlab.
01.04.2023
223 - 229
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