A new perturbation-iteration approach for first order differential equations

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Date

2011

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Publisher

Association for Scientific Research

Abstract

Two new perturbation-iteration algorithms for solving differential equations of first order are proposed. Variants of the algorithm are developed depending on the differential order of Taylor series expansions. The iteration algorithms are tested on a number of first order equations. Much better solutions than the regular perturbation solutions are achieved. © Association for Scientific Research.

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Keywords

Convergence of numerical methods , Differential equations , Perturbation techniques , Taylor series , Numerical methods , Convergence , First order differential equation , Iteration algorithms , Numerical solution , Perturbation method , Iterative methods

Citation

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18191

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