Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline
type: Item
instance of: scholarly article
title: Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline
zbMATH Open document ID: 1403.65041
author: A. S. V. Ravi Kanth
author: Deepika Sirswal
published in: Numerical Algorithms
publication date: 2018-10-01T00:00:00Z
review text: The authors consider the approximation of time-fractional diffusion equations in one space dimension using tension spline. The fractional time derivative is given in the Caputo sense. The numerical scheme is based on the use of the Crank-Nicolson method. The conditional stability is proved. A convergence analysis using the Fourier series method is presented. Some numerical examples are presented to support the theoretical results.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 6945625
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: tension spline
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s11075-017-0447-1
OpenAlex ID: W2769164724
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DOI: 10.1007/S11075-017-0447-1
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description: scientific article; zbMATH DE number 6945625