Affiliation:
1. College of Sciences, Hunan University of Technology, Zhuzhou 412008, China
Abstract
In this work, a predictor–corrector compact difference scheme for a nonlinear fractional differential equation is presented. The MacCormack method is provided to deal with nonlinear terms, the Riemann–Liouville (R-L) fractional integral term is treated by means of the second-order convolution quadrature formula, and the Caputo derivative term is discretized by the L1 discrete formula. Through the first and second derivatives of the matrix under the compact difference, we improve the precision of this scheme. Then, the existence and uniqueness are proved, and the numerical experiments are presented.
Funder
National Natural Science Foundation of China Mathematics Tianyuan Foundation
Scientific Research Fund of Hunan Provincial Education Department
Hunan Provincial Natural Science Foundation of China
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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