Perturbation-iteration method for first-order differential equations and systems (Q370146)

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scientific article; zbMATH DE number 6209408
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Perturbation-iteration method for first-order differential equations and systems
scientific article; zbMATH DE number 6209408

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    Perturbation-iteration method for first-order differential equations and systems (English)
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    19 September 2013
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    Summary: The previously developed new perturbation-iteration algorithm has been applied to differential equation systems for the first time. The iteration algorithm for systems is developed first. The algorithm is tested for a single equation, coupled two equations, and coupled three equations. Solutions are compared with those of the variational iteration method and numerical solutions, and a good agreement is found. The method can be applied to differential equation systems with success.
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    perturbation-iteration algorithm
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    differential equation systems
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    variational iteration method
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