Abstract
In this paper, we present a class of finite difference methods for numerically solving fractional differential equations. Such numerical schemes are developed based on the change in variable and piecewise interpolations. Error analysis of the numerical schemes is obtained by using a Grönwall-type inequality. Numerical examples are given to confirm the theoretical results.
Funder
National Natural Science Foundation of China
Ministry of Education of Singapore
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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