High-Order Numerical Methods for Solving Time Fractional Partial Differential Equations
Affiliation
Luliang University, P. R. China, Jimei University, P. R. China, University of Chester, UKPublication Date
2016-11-15
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In this paper we introduce a new numerical method for solving time fractional partial differential equation. The time discretization is based on Diethelm’s method where the Hadamard finite-part integral is approximated by using the piecewise quadratic interpolation polynomials. The space discretization is based on the standard finite element method. The error estimates with the convergence order O(τ^(3−α) +h^2 ),0Citation
Li, Z., Liang, Z. & Yan, Y. (2017). High-order numerical methods for solving time fractional partial differential equations. Journal of Scientific Computing, 71(2), 785-803. DOI: 10.1007/s10915-016-0319-1Publisher
SpringerJournal
Journal of Scientific ComputingAdditional Links
http://link.springer.com/article/10.1007/s10915-016-0319-1Type
ArticleLanguage
enDescription
The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-016-0319-1ISSN
0885-7474EISSN
1573-7691ae974a485f413a2113503eed53cd6c53
10.1007/s10915-016-0319-1
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Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-nd/4.0/