Year: 2016
Author: Shuiping Yang, Aiguo Xiao
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 2 : pp. 113–134
Abstract
In this paper, we study the Hermite cubic spline collocation method with two parameters for solving an initial value problem (IVP) of nonlinear fractional differential equations with two Caputo derivatives. The convergence and nonlinear stability of the method are established. Some illustrative examples are provided to verify our theoretical results. The numerical results also indicate that the convergence order is min{4 - α, 4 - β}, where 0 ‹ β ‹ α ‹ 1 are two parameters associated with the fractional differential equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1510-m2014-0050
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 2 : pp. 113–134
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Fractional differential equations Caputo derivatives Spline collocation method Convergence Stability.