Corrected L-type Method for Multi-singularity Problems Arising from Delay Fractional Equations

This paper is an extended work based on the literature [fitted L 1 method for delay fractional equations, (Cen and Vong in Comput Methods Appl Math, 2023)]. The highlight lies in the decomposition optimization of the solution for multi-singularity problems. Motivated by this idea, two corrected L -t...

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Veröffentlicht in:	Journal of scientific computing 2023-10, Vol.97 (1), p.15, Article 15
Hauptverfasser:	Cen, Dakang, Ou, Caixia, Vong, Seakweng
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Sprache:	eng
Schlagworte:	Algorithms Computational Mathematics and Numerical Analysis Decomposition Fourier transforms Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Numerical analysis Singularities Theoretical
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creator	Cen, Dakang Ou, Caixia Vong, Seakweng
description	This paper is an extended work based on the literature [fitted L 1 method for delay fractional equations, (Cen and Vong in Comput Methods Appl Math, 2023)]. The highlight lies in the decomposition optimization of the solution for multi-singularity problems. Motivated by this idea, two corrected L -type schemes are constructed, of which optimal convergence order reaches 2 - α and 2, respectively, where α ∈ ( 0 , 1 ) is fractional order. Significantly, the correction terms share the same forms with the discrete convolution structure for the Caputo derivative, which implies that the computation and analysis of these two parts can be integrated together.
doi_str_mv	10.1007/s10915-023-02329-9
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subjects	Algorithms Computational Mathematics and Numerical Analysis Decomposition Fourier transforms Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Numerical analysis Singularities Theoretical
title	Corrected L-type Method for Multi-singularity Problems Arising from Delay Fractional Equations
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