On the spline collocation method for the single layer equation related to time-fractional diffusion

DOI10.1007/s11075-010-9430-9zbMath1230.65110OpenAlexW1996858654MaRDI QIDQ634178

Jukka T. Kemppainen, Keijo Matti Ruotsalainen

Publication date: 2 August 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9430-9

zbMATH Keywords

stabilityboundary element methodFourier analysisboundary integral equationVolterra integral equationspline collocationsingle layer potentialanisotropic pseudodifferential operatorstime-fractional diffusion

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (2)

A numerical scheme for the time-fractional diffusion equation by layer potentials ⋮ Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods

Cites Work

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• On the Asymptotic Convergence of Spline Collocation Methods for Partial Differential Equations
• Boundary Integral Solution of the Two-Dimensional Fractional Diffusion Equation
• On the Asymptotic Convergence of Collocation Methods With Spline Functions of Even Degree
• Boundary integral solution of the two-dimensional heat equation
• Parabolic boundary integral operators symbolic representation and basic properties

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