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Cubic Spline Collocation Method for Fractional Differential Equations
Author(s) -
Shuiping Yang,
Aiguo Xiao
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/864025
Subject(s) - mathematics , collocation method , collocation (remote sensing) , spline (mechanical) , initial value problem , convergence (economics) , stability (learning theory) , truncation error , mathematical analysis , differential equation , ordinary differential equation , computer science , structural engineering , machine learning , economic growth , engineering , economics
We discuss the cubic spline collocation method with two parameters for solving the initial value problems (IVPs) of fractional differential equations (FDEs). Some results of the local truncation error, the convergence, and the stability of this method for IVPs of FDEs are obtained. Some numerical examples verify our theoretical results

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