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Journal of Scientific Computing

Erschienen in:

01.10.2020

An Efficient Spline Collocation Method for a Nonlinear Fourth-Order Reaction Subdiffusion Equation

verfasst von: Haixiang Zhang, Xuehua Yang, Da Xu

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2020

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Abstract

The nonlinear fourth-order reaction–subdiffusion equation whose solutions display a typical initial weak singularity is considered. A new analytical technique is introduced to analyze orthogonal spline collocation (OSC) method based on L1 scheme on graded mesh. By introducing a discrete convolution kernel and discrete fractional Grönwall inequality, convergence of the scheme is proved rigorously. This novel analytical technique can provide new insights in analyzing other time fractional fourth-order differential equations with weakly singular solutions.

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Titel: An Efficient Spline Collocation Method for a Nonlinear Fourth-Order Reaction Subdiffusion Equation
verfasst von: Haixiang Zhang
Xuehua Yang
Da Xu
Publikationsdatum: 01.10.2020
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-020-01308-8

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