广西民族大学学报（自然科学版）2025，Vol.31Issue(1)：65-72,84,9.
一类Caputo分数阶微分方程的数值解
Numerical Solutions for a Class of Caputo Fractional Differential Equations
摘要
Abstract
This article mainly discusses the numerical solutions of boundary value problems for a class of variable coefficient Caputo fractional differential equations.First,the Adams-Bashforth-Moulton method is used to provide the predicted values of the problem,and then the highly accurate piecewise linear interpolation function method is used to correct the predicted values to obtain the numerical solution of the initial value problem and the predictive correction format.At the same time,the error analysis of the algorithm is provided.Finally,the applicability and effectiveness of the algorithm are verified through numerical examples.关键词
分数阶微分方程/数值解/预测校正/误差分析Key words
Fractional differential equations/Numerical solution/Predictive correction/Error analysis分类
数学引用本文复制引用
黄燕萍,韦煜明..一类Caputo分数阶微分方程的数值解[J].广西民族大学学报（自然科学版）,2025,31(1):65-72,84,9.基金项目
广西高校中青年教师科研基础能力提升项目(2021KY1595). （2021KY1595）
