The Variational Iteration Method for Autonomous Ordinary Differential Equations with Fractional Order
Abstract：In this paper,the Variational Iteration Method（VIM） is implemented to give approximate solutions for autonomous ordinary differential equations（AODEs） and ordinary differential equations with fractional order（FODEs）.The special approach can be applied to differential equations with different styles and get analytical solution or approximative solution.Numerical examples show that the VIM can solve AODEs and FODEs conveniently and efficiently based on the convergence analysis of solution series and their errors according to the VIM.Generally speaking,we can get high-precision solutions with only a small quantity of iterations.
Keywords：autonomous ordinary differential equations（AODEs）variational iteration methodCaputo′s derivativeordinary differential equations with fractional order（FODEs）
Publication Date：2011-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 245-249 )