Basic properties of sumudu transformation and its application to some partial differential equations
Yıl 2019,
, 509 - 514, 01.08.2019
Fatma Kaya
,
Yalçın Yılmaz
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,
, 509 - 514, 01.08.2019
Fatma Kaya
,
Yalçın Yılmaz
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.