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Dergiler / Sakarya University Journal of Science / 2019 / Cilt: 23 Sayı: 4

Basic properties of sumudu transformation and its application to some partial differential equations

Fatma KAYA
Yalçın YILMAZ
Sayfa
509–514
Yayın Tarihi
2019-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this work, it is obtained solutions to some dynamic problems which arise in physics and engineering.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:One of the solution methods of ordinary and partial differential equations is integral transform.
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Temel Bulgular & Veri:Newly introduced Sumudu transform provides an alternative integral transform which gives us an efficient tool to solve initial-boundary value problems.
💡
Sonuç & Katkı:In this work, it is obtained solutions to some dynamic problems which arise in physics and engineering.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Integral transform · Laplace transform · Sumudu transform

Abstract

One of the solution methods of ordinary and partial differential equations is integral transform. Newly introduced Sumudu transform provides an alternative integral transform which gives us an efficient tool to solve initial-boundary value problems. In this work, it is obtained solutions to some dynamic problems which arise in physics and engineering.

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Bu Makaleye Atıf Yap

KAYA, F., YILMAZ, Y. (2019). Basic properties of sumudu transformation and its application to some partial differential equations. Sakarya University Journal of Science, Cilt: 23 Sayı: 4, 509–514. https://ajindex.com/articles/941999

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Kaynakça (10)

  1. Belgacem, F.B.M., Karaballi, A.A., and Kalla, S.L.,Analytical investigations of the Sumudu transform and applications to integral production equations. Mathemetical Problems in Engineering, no.3,103-118, 2003
  2. Weerakoon, S.,Application of Sumudu transform to partial differential equations. Int. J. Math. Educ. Sci. Technol., vol.25, no.2, 277-283, 1994
  3. Belgacem, F.B.M., Karaballi, A.A., Sumudu transform fundamental properties investigations and applications.Hindawi Publishing Corporation Journal of Applied Mathematic and Stochstic Analysis Volume, Article ID 91083, 1-23,DOI 10.1155/JAMSA/2006/91083, 2006
  4. Belgacem, F. B. M., Introducing and analysing deeper Sumudu properties. Nonlinear Studies, vol. 13, no. 1, 23-41, 2006
  5. Watugala, G. K., Sumudu transform: a new integral transform to solve differential equations and control engineering problems. International Journal of Mathematical Education in Science and Technology, no.1, 35-43, 1993
  6. Belgacem, M. F. B., Silambarasan, R., Sumudu transform and trigonometric functions., Accepted Manuscript
  7. Eltayeb, H., Kılıçman, A., A note on the Sumudu transforms and differential equations., Applied Mathematical Sciences, 4(22), 1089-1098, 2010
  8. Bulut, Hasan; Başkonuş, H. Mehmet; Tuluce, Seyma. The solutions of partial differential equations with variable coefficient by Sumudu transform method. In: AIP Conference Proceedings. AIP, p. 91-95, 2012
  9. Belgacem, Fethi Bin Muhammad, Sumudu applications to Maxwell’s equations. PIERS Online, 5.4: 355-360, 2009
  10. Eltayeb, H., Kılıçman, A., Fisher, B., A new integral transform and associated distributions. Integral Transforms and Special Functions, 21(5), 367-379, 2010.