A second order CrankNicolson scheme for fractional Cattaneo equation based on new fractional derivative
Pages 361 - 374
Abstract
Recently Caputo and Fabrizio introduce a new derivative with fractional order which has the ability to describe the material heterogeneities and the fluctuations of different scales. In this article, a CrankNicolson finite difference scheme to solve fractional Cattaneo equation based on the new fractional derivative is introduced and analyzed. Some a priori estimates of discrete L(L2) errors with optimal order of convergence rate O(2+h2) are established on uniform partition. Moreover, the applicability and accuracy of the scheme are demonstrated by numerical experiments to support our theoretical analysis.
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- A second order CrankNicolson scheme for fractional Cattaneo equation based on new fractional derivative
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Published: 15 October 2017
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