A new approach for constructing second order schemes for fractional order differential equations.

Autor:	Angelova, Ivanka T.
Předmět:	CAPUTO fractional derivatives FRACTIONAL integrals FRACTIONAL differential equations INITIAL value problems EQUATIONS
Zdroj:	AIP Conference Proceedings; 9/6/2022, Vol. 2505 Issue 1, p1-8, 8p
Abstrakt:	In this work we propose a second order numerical method to solving fractional order initial value problems. We consider the fractional derivative in Caputo sense. To construct the approximation scheme we apply fractional integral identities. On this base we construct discretization schemes on grading mesh with moderate optimal grading parameter. We also present the application of the proposed method for solving time fractional parabolic equations. Numerical results are discussed. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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