| 非线性分数次边值问题改进的ADM解法(英文) |
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| 引用本文： | 王洁. 非线性分数次边值问题改进的ADM解法(英文)[J]. 数学季刊, 2012, 0(2): 238-245 |
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| 作者姓名： | 王洁 |
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| 作者单位： | Undergraduate College,Shangqiu Institute of Technology |
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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≤ 4 u（0） = α0 , u’’ （0） = α2 u（1） = β0 , u’’（1） = β2} （1） where D（0α）+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 linear and nonlinear problems.
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| 关 键 词： | Caputo fractional derivative Adomian decomposition method differential equations |
The Modified Adomian Decomposition Method for Nonlinear Fractional Boundary Value Problems |
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| WANG Jie. The Modified Adomian Decomposition Method for Nonlinear Fractional Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2012, 0(2): 238-245 |
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| Authors: | WANG Jie |
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| Affiliation: | WANG Jie(Undergraduate College,Shangqiu Institute of Technology,Shangqiu 476000,China) |
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| Abstract: | 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 ≤ 4 u（0） = α0 , u’’ （0） = α2 u（1） = β0 , u’’（1） = β2} （1） where D（0α）+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 linear and nonlinear problems. |
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| Keywords: | Caputo fractional derivative Adomian decomposition method differential equations |
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