An Operator-Based Scheme for the Numerical Integration of FDEs

被引：4

作者：

Timofejeva, Inga ^{[1
]}

Navickas, Zenonas ^{[1
]}

Telksnys, Tadas ^{[1
]}

Marcinkevicius, Romas ^{[2
]}

Ragulskis, Minvydas ^{[1
]}

机构：

[1] Kaunas Univ Technol, Ctr Nonlinear Syst, LT-50147 Kaunas, Lithuania

[2] Kaunas Univ Technol, Dept Software Engn, LT-50415 Kaunas, Lithuania

来源：

MATHEMATICS | 2021年 / 9卷 / 12期

关键词：

fractional differential equation; numerical integration; generalized differential operator; FRACTIONAL DIFFERENTIAL-EQUATIONS; EXP-FUNCTION; CONSTRUCTION; MODEL;

D O I：

10.3390/math9121372

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An operator-based scheme for the numerical integration of fractional differential equations is presented in this paper. The generalized differential operator is used to construct the analytic solution to the corresponding characteristic ordinary differential equation in the form of an infinite power series. The approximate numerical solution is constructed by truncating the power series, and by changing the point of the expansion. The developed adaptive integration step selection strategy is based on the controlled error of approximation induced by the truncation. Computational experiments are used to demonstrate the efficacy of the proposed scheme.

引用

页数：17

共 33 条

[1] Fractional modeling of temperature dynamics of a building with singular kernels [J].