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Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method

Yıl 2018, Cilt: 1 Sayı: 4, 233 - 238, 20.12.2018
https://doi.org/10.32323/ujma.433172

Öz

In this work, we present a different technique for calculation of Sumudu Integral Transform (SIT) by considering differential transform method (DTM). By means of our technique, Sumudu Transform of functions is obtained easily without complicated integration procedures.

Kaynakça

  • [1] G. K. Watugala, Sumudu transform: a new integral transform to solve differential equations and control engineering problems, Internat. J. Math. Ed. Sci. Tech., 24(1) (1993), 35–43.
  • [2] F. B. M. Belgacem, A. A. Karaballi, S. L. Kalla, Analytical investigations of the Sumudu transform and applications to integral production equations, Math. Probl. Eng., 3 (2003), 103–118.
  • [3] F. B. M. Belgacem, Sumudu transform applications to Bessel functions and equations, Appl. Math. Sci., 4 (2010), 3665–3686.
  • [4] G. K. Watugala, Sumudu transform new integral transform to solve differential equations and control engineering problems, Math. Engrg. Ind., 6(4) (1998), 319–329.
  • [5] A. Kilicman, H. E. Gadain, An Application of Double Laplace transform and double Sumudu transform, Lobachevskii J. Math., 30(3) (2009), 214–223.
  • [6] A. Kilicman, H. E. Gadain, On the applications of Laplace and Sumudu transforms, J. Franklin Inst., 347(5) (2010), 848–862.
  • [7] M. Zahid, M. A. Rana, T. Haroon, A. Siddiqui, Applications of Sumudu transform to MHD flows of an Oldroyd-B fluid, Appl. Math. Sci., 7 (2013), 7027–7036.
  • [8] M. A. Rana, A. Siddiqui, Q. K. Ghori, R. Qamar, Application of He’s Homotopy perturbation method to Sumudu transform, Int. J. Nonlinear Sci. Numer. Simul., 8(2) (2007), 185–190.
  • [9] N. A. A. Rahman, M. Z. Ahmad, Applications of the fuzzy Sumudu transform for the solution of first order Fuzzy differential equations, Entropy, 17(7) (2015), 4582–4601.
  • [10] O. M. Ogunlaran, H. S. Yusuf, Adomain Sumudu transform method for the Blasius equation, British J. Math. Comput. Sci., 14(3) (2016), 1–8.
  • [11] S. Abbasbandy, Applications of He’s homotopy perturbation method for Laplace transform, Chaos Solitons Fractals, 30(5) (2006), 1206–1212.
  • [12] H. Fatoorehchi, H. Abolghasemi, N. Magesh, The differential transform method as a new computational tool for Laplace transforms, Nats. Akad. Sci. Lett., 38(2) (2015), 157–160.
  • [13] E. Babolian, J. Biazar, A. R. Vahidi, A new computational method for Laplace transforms by decomposition method, Appl. Math. Comput., 150(3) (2004), 841–846.
  • [14] C. K. Chen, S. H. Ho, Solving partial differential equations by two-dimensional differential transform method, Appl. Math. Comput., 106(2-3) (1999), 171–179.
  • [15] M. J. Jang, C. Li Chen and Y. C. Liy, On solving the initial-value problems using the differential transformation method, Appl. Math. Comput., 115(2-3) (2000), 145–160.
  • [16] M. Gubes, H. A. Peker, G. Oturanc, Application of Differential transform method for El Nino southern oscillation (ENSO) model with compared Adomian decomposition and variational iteration methods, J. Math. Comput. Sci., 15(3) (2015), 167–178.
  • [17] M. Gubes, G. Oturanc, Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions, New Trends Math. Sci., 4 (2016), 198-212.
Yıl 2018, Cilt: 1 Sayı: 4, 233 - 238, 20.12.2018
https://doi.org/10.32323/ujma.433172

Öz

Kaynakça

  • [1] G. K. Watugala, Sumudu transform: a new integral transform to solve differential equations and control engineering problems, Internat. J. Math. Ed. Sci. Tech., 24(1) (1993), 35–43.
  • [2] F. B. M. Belgacem, A. A. Karaballi, S. L. Kalla, Analytical investigations of the Sumudu transform and applications to integral production equations, Math. Probl. Eng., 3 (2003), 103–118.
  • [3] F. B. M. Belgacem, Sumudu transform applications to Bessel functions and equations, Appl. Math. Sci., 4 (2010), 3665–3686.
  • [4] G. K. Watugala, Sumudu transform new integral transform to solve differential equations and control engineering problems, Math. Engrg. Ind., 6(4) (1998), 319–329.
  • [5] A. Kilicman, H. E. Gadain, An Application of Double Laplace transform and double Sumudu transform, Lobachevskii J. Math., 30(3) (2009), 214–223.
  • [6] A. Kilicman, H. E. Gadain, On the applications of Laplace and Sumudu transforms, J. Franklin Inst., 347(5) (2010), 848–862.
  • [7] M. Zahid, M. A. Rana, T. Haroon, A. Siddiqui, Applications of Sumudu transform to MHD flows of an Oldroyd-B fluid, Appl. Math. Sci., 7 (2013), 7027–7036.
  • [8] M. A. Rana, A. Siddiqui, Q. K. Ghori, R. Qamar, Application of He’s Homotopy perturbation method to Sumudu transform, Int. J. Nonlinear Sci. Numer. Simul., 8(2) (2007), 185–190.
  • [9] N. A. A. Rahman, M. Z. Ahmad, Applications of the fuzzy Sumudu transform for the solution of first order Fuzzy differential equations, Entropy, 17(7) (2015), 4582–4601.
  • [10] O. M. Ogunlaran, H. S. Yusuf, Adomain Sumudu transform method for the Blasius equation, British J. Math. Comput. Sci., 14(3) (2016), 1–8.
  • [11] S. Abbasbandy, Applications of He’s homotopy perturbation method for Laplace transform, Chaos Solitons Fractals, 30(5) (2006), 1206–1212.
  • [12] H. Fatoorehchi, H. Abolghasemi, N. Magesh, The differential transform method as a new computational tool for Laplace transforms, Nats. Akad. Sci. Lett., 38(2) (2015), 157–160.
  • [13] E. Babolian, J. Biazar, A. R. Vahidi, A new computational method for Laplace transforms by decomposition method, Appl. Math. Comput., 150(3) (2004), 841–846.
  • [14] C. K. Chen, S. H. Ho, Solving partial differential equations by two-dimensional differential transform method, Appl. Math. Comput., 106(2-3) (1999), 171–179.
  • [15] M. J. Jang, C. Li Chen and Y. C. Liy, On solving the initial-value problems using the differential transformation method, Appl. Math. Comput., 115(2-3) (2000), 145–160.
  • [16] M. Gubes, H. A. Peker, G. Oturanc, Application of Differential transform method for El Nino southern oscillation (ENSO) model with compared Adomian decomposition and variational iteration methods, J. Math. Comput. Sci., 15(3) (2015), 167–178.
  • [17] M. Gubes, G. Oturanc, Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions, New Trends Math. Sci., 4 (2016), 198-212.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Murat Gübeş

Yayımlanma Tarihi 20 Aralık 2018
Gönderilme Tarihi 12 Haziran 2018
Kabul Tarihi 3 Ekim 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 4

Kaynak Göster

APA Gübeş, M. (2018). Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method. Universal Journal of Mathematics and Applications, 1(4), 233-238. https://doi.org/10.32323/ujma.433172
AMA Gübeş M. Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method. Univ. J. Math. Appl. Aralık 2018;1(4):233-238. doi:10.32323/ujma.433172
Chicago Gübeş, Murat. “Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method”. Universal Journal of Mathematics and Applications 1, sy. 4 (Aralık 2018): 233-38. https://doi.org/10.32323/ujma.433172.
EndNote Gübeş M (01 Aralık 2018) Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method. Universal Journal of Mathematics and Applications 1 4 233–238.
IEEE M. Gübeş, “Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method”, Univ. J. Math. Appl., c. 1, sy. 4, ss. 233–238, 2018, doi: 10.32323/ujma.433172.
ISNAD Gübeş, Murat. “Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method”. Universal Journal of Mathematics and Applications 1/4 (Aralık 2018), 233-238. https://doi.org/10.32323/ujma.433172.
JAMA Gübeş M. Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method. Univ. J. Math. Appl. 2018;1:233–238.
MLA Gübeş, Murat. “Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method”. Universal Journal of Mathematics and Applications, c. 1, sy. 4, 2018, ss. 233-8, doi:10.32323/ujma.433172.
Vancouver Gübeş M. Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method. Univ. J. Math. Appl. 2018;1(4):233-8.

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