Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
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.
A predictor-corrector method for fractional evolution equations
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
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
Numerical solutions for space fractional dispersion equations with nonlinear source terms
2010; 47(6): 1225-1234
-
Error estimates for a Galerkin method for a coupled nonlinear Schr\"{o}dinger equations
2020; 57(1): 219-244
-
Nonlocal boundary value problems for Hilfer fractional differential equations
2018; 55(6): 1639-1657
-
Univariate left fractional polynomial high order monotone approximation
2015; 52(2): 593-601
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd