| Variational Iteration Method for Delay Differential Equations |
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| 摘 要： | Since1930'sand40's,theexamplesofdelaydifferentialequationsarisinginpracticalapplicationshavebeenescalatedrapidly,andhavebeenstudiedextensively(fordetails,see1]).Inthispaperwewillproposeanovelmethodcalledvariationaliterationmethod2]tosolvesuchproblems.Considerfollowingpopulationgrowthmodel1]x′(t)+cθ(t-1)x(t)+cθ(t-1)=0(1a)x(0)=θ(0),-1≤t≤0(1b) Accordingtovariationaliterationmethod2],thecorrectionfunctionalcanbeconstructedasfollowsxn+1(t)=xn(t)+∫t0λx′nτ+cθ(τ-1)xn(τ)+cθ(τ-1…
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Variational iteration method for delay differential equations |
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| Authors: | Jihuan He |
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| Institution: | Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China |
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| Abstract: | The variational iteration method is shown to be applicable to delay differential equations for analytical approximate solutions. |
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