计算机工程与应用Issue(23)：1-3,25,4.DOI:10.3778/j.issn.1002-8331.1404-0192
分数阶非线性方程近似解析解的新解法
摘要
Abstract
A novel method which is based on variational iteration method, Laplace transform and homotopy perturbation method is proposed, and this new method is applied to obtain the approximate solutions of the fractional coupled MKdV equation. The fractional Lagrange multiplier is accurately determined by the Laplace transform and the nonlinear term can be easily handled by He’s polynomials. The results demonstrate accuracy and fast convergence of this new algorithm.关键词
变分迭代法/Laplace变换/同伦扰动法/分数阶方程/非线性方程Key words
variational iteration method/Laplace transform/homotopy perturbation method/fractional equation/nonlinear equation分类
数理科学引用本文复制引用
董立华,刘艳芹..分数阶非线性方程近似解析解的新解法[J].计算机工程与应用,2014,(23):1-3,25,4.基金项目
山东省优秀中青年科学家科研奖励基金（No.BS2013HZ026）；山东省自然科学基金（No.ZR2013AQ005）。 （）
