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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
In fact, the numerical results reveal that DTM is very efficient, reliable and accurate
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, approximate and/or analytical solutions of the Emden-Fowler type equations in the secondorder ordinary differential equations are obtained by applying differential transformation method (DTM).
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Temel Bulgular & Veri:In this work, two examples are given and DTM yields solutions in convergent series forms with easily computable terms by using a reliable algorithm and in most cases iterations leads to the high accuracy of the solutions.
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Sonuç & Katkı:In fact, the numerical results reveal that DTM is very efficient, reliable and accurate
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonlinear differential equations · Singular initial value problems · Differential transform method
Abstract
In this paper, approximate and/or analytical solutions of the Emden-Fowler type equations in the secondorder ordinary differential equations are obtained by applying differential transformation method (DTM). In this work, two examples are given and DTM yields solutions in convergent series forms with easily computable terms by using a reliable algorithm and in most cases iterations leads to the high accuracy of the solutions. Comparisons with the analytical solutions and the solutions found by the DTM show the efficiency in solving equations with singularity. In fact, the numerical results reveal that DTM is very efficient, reliable and accurate
Anahtar kelimeler
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Bu Makaleye Atıf Yap
DEMİR, H., SÜNGÜ, İ. Ç. (2009). Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method. Cankaya University Journal of Science and Engineering, Cilt: 12 - Sayı: 2, 75–82. https://ajindex.com/articles/746125