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http://dx.doi.org/10.4134/BKMS.b150901

A PREDICTOR-CORRECTOR METHOD FOR FRACTIONAL EVOLUTION EQUATIONS  

Choi, Hong Won (Department of Mathematics Seoul Science High School)
Choi, Young Ju (Department of Mathematics Education Seoul National University)
Chung, Sang Kwon (Department of Mathematics Education Seoul National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1725-1739 More about this Journal
Abstract
Abstract. 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
ractional differential equation; Caputo fractional derivative; predictor-corrector method; convergence; error estimate;
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Times Cited By KSCI : 1  (Citation Analysis)
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