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

Yıl 2019, Cilt: 23 Sayı: 4, 509 - 514, 01.08.2019
https://doi.org/10.16984/saufenbilder.416501

Öz

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.

Kaynakça

  • [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.
Yıl 2019, Cilt: 23 Sayı: 4, 509 - 514, 01.08.2019
https://doi.org/10.16984/saufenbilder.416501

Öz

Kaynakça

  • [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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Fatma Kaya 0000-0002-9653-3471

Yalçın Yılmaz Bu kişi benim 0000-0003-1524-4633

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 18 Nisan 2018
Kabul Tarihi 5 Kasım 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 23 Sayı: 4

Kaynak Göster

APA Kaya, F., & Yılmaz, Y. (2019). Basic properties of sumudu transformation and its application to some partial differential equations. Sakarya University Journal of Science, 23(4), 509-514. https://doi.org/10.16984/saufenbilder.416501
AMA Kaya F, Yılmaz Y. Basic properties of sumudu transformation and its application to some partial differential equations. SAUJS. Ağustos 2019;23(4):509-514. doi:10.16984/saufenbilder.416501
Chicago Kaya, Fatma, ve Yalçın Yılmaz. “Basic Properties of Sumudu Transformation and Its Application to Some Partial Differential Equations”. Sakarya University Journal of Science 23, sy. 4 (Ağustos 2019): 509-14. https://doi.org/10.16984/saufenbilder.416501.
EndNote Kaya F, Yılmaz Y (01 Ağustos 2019) Basic properties of sumudu transformation and its application to some partial differential equations. Sakarya University Journal of Science 23 4 509–514.
IEEE F. Kaya ve Y. Yılmaz, “Basic properties of sumudu transformation and its application to some partial differential equations”, SAUJS, c. 23, sy. 4, ss. 509–514, 2019, doi: 10.16984/saufenbilder.416501.
ISNAD Kaya, Fatma - Yılmaz, Yalçın. “Basic Properties of Sumudu Transformation and Its Application to Some Partial Differential Equations”. Sakarya University Journal of Science 23/4 (Ağustos 2019), 509-514. https://doi.org/10.16984/saufenbilder.416501.
JAMA Kaya F, Yılmaz Y. Basic properties of sumudu transformation and its application to some partial differential equations. SAUJS. 2019;23:509–514.
MLA Kaya, Fatma ve Yalçın Yılmaz. “Basic Properties of Sumudu Transformation and Its Application to Some Partial Differential Equations”. Sakarya University Journal of Science, c. 23, sy. 4, 2019, ss. 509-14, doi:10.16984/saufenbilder.416501.
Vancouver Kaya F, Yılmaz Y. Basic properties of sumudu transformation and its application to some partial differential equations. SAUJS. 2019;23(4):509-14.

Sakarya University Journal of Science (SAUJS)