A predictor-corrector approach for the numerical solution of fractional differential equations

被引：1797
|
作者：
Diethelm, K
Ford, NJ
Freed, AD
机构：
[1] Tech Univ Braunschweig, Inst Angew Math, D-38106 Braunschweig, Germany
[2] Chester Coll Higher Educ, Dept Math, Chester CH1 4BJ, Cheshire, England
[3] NASA, John H Glenn Res Ctr Lewis Field, Polymers Branch, Cleveland, OH 44135 USA
来源：
NONLINEAR DYNAMICS | 2002年 / 29卷 / 1-4期
关键词：
fractional differential equation; Caputo derivative; numerical solution; predictor-corrector method; Adams method;
D O I：
10.1023/A:1016592219341
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We discuss an Adams-type predictor-corrector method for the numerical solution of fractional differential equations. The method may be used both for linear and for nonlinear problems, and it may be extended to multi-term equations (involving more than one differential operator) too.
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页码：3 / 22
页数：20
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