The Modified Adomian Decomposition Method for Nonlinear Fractional Boundary Value Problems 被引量：1

The Modified Adomian Decomposition Method for Nonlinear Fractional Boundary Value Problems

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摘要 We use the modified Adomian decomposition method（ADM） for solving the nonlinear fractional boundary value problem {D α0＋u（x）=f（x,u（x）） ,0〈x〈1,3〈α≤4u（0）=α0, u″（0）=α2u（1）=β0,u″（1）β2where Dα 0 ＋u is Caputo fractional derivative and α0, α2, β0, β2 is not zero at all, and f ： [0, 1] × R→R is continuous. The calculated numerical results show reliability and efficiency of the algorithm given. The numerical procedure is tested on lineax and nonlinear problems.

作者 WANG Jie

机构地区 Undergraduate College

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期238-245,共8页 数学季刊（英文版）

关键词 Caputo fractional derivative Adomian decomposition method differential equations Caputo fractional derivative Adomian decomposition method differential equations

分类号 O241.81 [理学—计算数学]

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Chinese Quarterly Journal of Mathematics

2012年第2期

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The Modified Adomian Decomposition Method for Nonlinear Fractional Boundary Value Problems 被引量：1

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