Using the Euler's method to solve ordinary differential equations of higher order with a mixture of integer and Caputo derivatives

• Autorzy: Błaszczyk T. , Leszczyński J. S.
• Języki publikacji: EN

Abstrakty

EN

In this paper we present an application of the Euler's method to the numerical solution of fractional ordinary differential equations. These equations include both a classical differential operator of integer order and the fractional one defined in the Caputo sense. Our previous work was limited to the order of fractional derivative α ∈ (0,1) . This study considers numerical schemes for higher orders of a fractional derivative. We then compare our schemes with analytical solutions in order to show their good numerical precision.

Słowa kluczowe

EN

fractional ordinary differential equations; Euler method; Caputo derivatives

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 31--40
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Błaszczyk T.

autor

Leszczyński J. S.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology, Poland,

Bibliografia

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