A Lagrange Regularized Kernel Method for Solving Multi-dimensional Time-Fractional Heat Equations
2017 ◽
Vol 18
(1)
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pp. 93-102
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Keyword(s):
Abstract:Evolution equations containing fractional derivatives can provide suitable mathematical models for describing important physical phenomena. In this paper, we propose an accurate method for numerical solutions of multi-dimensional time-fractional heat equations. The proposed method is based on a fractional exponential integrator scheme in time and the Lagrange regularized kernel method in space. Numerical experiments show the effectiveness of the proposed approach.
2013 ◽
Vol 41
(3)
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pp. 174-195
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2007 ◽
Vol 207
(1)
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pp. 111-120
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2010 ◽
Vol 65
(11)
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pp. 935-949
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2015 ◽
Vol 6
(3)
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pp. 498
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2019 ◽
Vol 57
(2)
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pp. 131-144