Journals / Karaelmas Fen ve Mühendislik Dergisi / 2018 / Cilt: 8 - Sayı: 1

An Alternative Method to Undetermined Coefficients Method with aid of Fourier Transform

Fourier Dönüşümünün Yardımı ile Belirsiz Katsayılar Metoduna Alternatif bir Metod

Pages
268–272
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

With this method we can solve all the equations that can be solved by the method of undeterminated coefficients.That is, this method is an alternative to the undetermined coefficients method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, The Fourier transforms studied for special solution of ordinary differential equations.
📊
Key Findings & Data:These equations of which right side is in the form , where is a polnomial from m.th degree, are nonhomogeneous constant coeffients..
💡
Conclusion & Impact:With this method we can solve all the equations that can be solved by the method of undeterminated coefficients.That is, this method is an alternative to the undetermined coefficients method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Dirac delta fonksiyonu · Fourier dönüşümü · Fourier Transform

Abstract

In this paper, The Fourier transforms studied for special solution of ordinary differential equations. These equations of which right side is in the form , where is a polnomial from m.th degree, are nonhomogeneous constant coeffients.. With this method we can solve all the equations that can be solved by the method of undeterminated coefficients.That is, this method is an alternative to the undetermined coefficients method.

Özet

Bu makalede adi diferansiyel denklemlerin özel çözümü için fourier dönüşümü çalışıldı Pm x . Dereceden polinom olmak üzere, bu denklemler sağ tarafı eaxPm x biçiminde olan sabit katsayılı homojen olmayan denklemlerdir. Bu metotla belirsiz katsayılar metodu ile çözebileceğimiz bütün denklemleri çözebiliriz. Yani bu metot belirsiz katsayılar metoduna bir alternatiftir

🔖

Cite This Article

DÜZ, M. (2018). An Alternative Method to Undetermined Coefficients Method with aid of Fourier Transform. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 8 - Sayı: 1, 268–272. https://ajindex.com/articles/213867

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (1)

  1. Boggess, A., Francis, JN. 2001. A first Course in Wavelets with Fourier Analysis. Bracewell, RN. 2000. The Fourier Transform and Its Applications (3rd bas.). Boston, McGraw-HillBook Campany.