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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
It is proven that under particular choices of the auxiliary parameters the homotopy perturbation method is indeed the Taylor series expansion of the sought solution of nonlinear equations.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The present paper deals with the homotopy perturbation method.
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Temel Bulgular & Veri:The question of whether the homotopy perturbation method is simply the conventional Taylor series expansion is examined.
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Sonuç & Katkı:It is proven that under particular choices of the auxiliary parameters the homotopy perturbation method is indeed the Taylor series expansion of the sought solution of nonlinear equations.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonlinearity · Analytic solution · Homotopy perturbation method
Abstract
The present paper deals with the homotopy perturbation method. The question of whether the homotopy perturbation method is simply the conventional Taylor series expansion is examined. It is proven that under particular choices of the auxiliary parameters the homotopy perturbation method is indeed the Taylor series expansion of the sought solution of nonlinear equations.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Turkyilmazoglu, M. (2015). Is homotopy perturbation method the traditional Taylor series expansion. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 3. https://ajindex.com/articles/1403288