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High‐order compact schemes for fractional differential equations with mixed derivatives
Authors:Seakweng Vong  Chenyang Shi  Pin Lyu
Institution:Department of Mathematics, University of Macau, Avenida da Universidade, Macau, China
Abstract:In this article, we consider two‐dimensional fractional subdiffusion equations with mixed derivatives. A high‐order compact scheme is proposed to solve the problem. We establish a sufficient condition and show that the scheme converges with fourth order in space and second order in time under this condition.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 2141–2158, 2017
Keywords:fractional differential equation  high‐order compact scheme  mixed derivatives
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