Bull. Korean Math. Soc. 2016; 53(6): 1725-1739
Online first article November 4, 2016 Printed November 30, 2016
https://doi.org/10.4134/BKMS.b150901
Copyright © The Korean Mathematical Society.
Hong Won Choi, Young Ju Choi, and Sang Kwon Chung
Seoul Science High School, Seoul National University, Seoul National University
Numerical solutions for the evolutionary space fractional order differential equations are considered. A predictor corrector method is applied in order to obtain numerical solutions for the equation without solving nonlinear systems iteratively at every time step. Theoretical error estimates are performed and computational results are given to show the theoretical results.
Keywords: fractional differential equation, Caputo fractional derivative, predictor--corrector method, convergence, error estimate
MSC numbers: 65M06, 65M12, 65M15
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