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

Year 2019, , 509 - 514, 01.08.2019
https://doi.org/10.16984/saufenbilder.416501

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.

References

  • [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.
Year 2019, , 509 - 514, 01.08.2019
https://doi.org/10.16984/saufenbilder.416501

Abstract

References

  • [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.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Fatma Kaya 0000-0002-9653-3471

Yalçın Yılmaz This is me 0000-0003-1524-4633

Publication Date August 1, 2019
Submission Date April 18, 2018
Acceptance Date November 5, 2018
Published in Issue Year 2019

Cite

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. August 2019;23(4):509-514. doi:10.16984/saufenbilder.416501
Chicago Kaya, Fatma, and Yalçın Yılmaz. “Basic Properties of Sumudu Transformation and Its Application to Some Partial Differential Equations”. Sakarya University Journal of Science 23, no. 4 (August 2019): 509-14. https://doi.org/10.16984/saufenbilder.416501.
EndNote Kaya F, Yılmaz Y (August 1, 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 and Y. Yılmaz, “Basic properties of sumudu transformation and its application to some partial differential equations”, SAUJS, vol. 23, no. 4, pp. 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 (August 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 and Yalçın Yılmaz. “Basic Properties of Sumudu Transformation and Its Application to Some Partial Differential Equations”. Sakarya University Journal of Science, vol. 23, no. 4, 2019, pp. 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.

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