Journal of Physics: Conference Series [15th Conf. : Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS 2023), 21-26 June 2023, Albena, BG]
Издателство
IOP [Institute of Physics] Publ.
Местоиздаване
Bristol, England
Година на издаване
2023
Пор.№
1
Страници
012-027. - (Conference Series ; Vol. 2675(1))
Том
2675
Допълнителна информация
ISBN
ISSN 1742-6588
Забележка
Авт.: Yuri M. Dimitrov, Slavi G. Georgiev, Radan Vasilev Miryanov, Venelin Todorov. - Загл. на изт.: Journal of Physics: Conference Series [15th Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS 2023), 21 - 26 June 2023, Albena, Bulgaria : Conference Proceedings]
Fractional derivatives have found application in modeling various processes in different fields of science. Finite difference schemes are a main approach for numerical solution of models using fractional differential equations. In this paper we investigate the convergence and order of the numerical solution of two-term ordinary fractional differential equation which uses the L1 approximation of the fractional derivative. Inequalities for the weights of L1 approximation are derived and used to prove the convergence of the L1 scheme for the two-term equation. Conditions for the parameter of the two-term equation and error estimates of L1 scheme are obtained. Experimental results for the order and error of the L1 scheme are presented in the paper.
Dimitrov, Y. Convergence of the L1 Two-Term Equation Scheme. Bristol, England: IOP [Institute of Physics] Publ., 2023 012-027. - (Conference Series ; Vol. 2675(1)), ISSN 1742-6588.
Dimitrov, Y. Convergence of the L1 Two-Term Equation Scheme. Bristol, England: IOP [Institute of Physics] Publ., 2023 012-027. - (Conference Series ; Vol. 2675(1)), ISSN 1742-6588.
Dimitrov, Y. (2023) Convergence of the L1 Two-Term Equation Scheme, Bristol, England: IOP [Institute of Physics] Publ. 012-027. - (Conference Series ; Vol. 2675(1)), ISSN 1742-6588.
Dimitrov, Y. (2023). Convergence of the L1 Two-Term Equation Scheme. Bristol, England: IOP [Institute of Physics] Publ., 012-027. - (Conference Series ; Vol. 2675(1)).
Dimitrov Y. Convergence of the L1 Two-Term Equation Scheme. Bristol, England: IOP [Institute of Physics] Publ.; 2023. p. 012-027. - (Conference Series ; Vol. 2675(1)). ISBN: ISSN 1742-6588.
