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Numerical Solution of Riesz Fractional Differential Equation via Meshless Method

Yıl 2019, Cilt: 2 Sayı: 1, 94 - 96, 30.10.2019

Merve İlkhan Emrah Evren Kara Fuat Usta

Öz

In this study, we present the numerical solution of Riesz fractional differential equation with the help of meshless method.  In accordance with this purpose, we benefit the radial basis functions (RBFs) interpolation method and conformable fractional calculus. We finally present the results of numerical experimentation to show that presented algorithm provide successful consequences.

Anahtar Kelimeler

Numerical solution Fractional calculus RBF interpolation

Kaynakça

  • [1] U. Katugampola, A new fractional derivative with classical properties, ArXiv:1410.6535v2.
  • [2] MD. Buhmann, Radial Basis Functions: Theory and Implementations, Cambridge University Press, 2003.
  • [3] W. Cheney and W. Light, A Course in Approximation Theory, William Allan, New York, 1999.
  • [4] Q. Yang., F. Liu, and I. Turner, Numerical methods for fractional partial differential equations with Riesz space fractional derivatives, Appl. Math. Modelling., 34(200-218) (2010).
  • [5] C. Franke and R. Schaback, Solving partial differential equations by collocation using radial basis functions, Appl. Math. Comput. , 93 (1998) 73-82.
  • [6] E. J. Kansa, Multiquadrics a scattered data approximation scheme with applications to computational filuid-dynamics. I. Surface approximations and partial derivative estimates, Comput. Math. Appl. 19(8-9) (1990) 127-145.

Yıl 2019, Cilt: 2 Sayı: 1, 94 - 96, 30.10.2019

Merve İlkhan Emrah Evren Kara Fuat Usta

Öz

Kaynakça

  • [1] U. Katugampola, A new fractional derivative with classical properties, ArXiv:1410.6535v2.
  • [2] MD. Buhmann, Radial Basis Functions: Theory and Implementations, Cambridge University Press, 2003.
  • [3] W. Cheney and W. Light, A Course in Approximation Theory, William Allan, New York, 1999.
  • [4] Q. Yang., F. Liu, and I. Turner, Numerical methods for fractional partial differential equations with Riesz space fractional derivatives, Appl. Math. Modelling., 34(200-218) (2010).
  • [5] C. Franke and R. Schaback, Solving partial differential equations by collocation using radial basis functions, Appl. Math. Comput. , 93 (1998) 73-82.
  • [6] E. J. Kansa, Multiquadrics a scattered data approximation scheme with applications to computational filuid-dynamics. I. Surface approximations and partial derivative estimates, Comput. Math. Appl. 19(8-9) (1990) 127-145.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Merve İlkhan 0000-0002-0831-1474

Emrah Evren Kara 0000-0002-6398-4065

Fuat Usta 0000-0002-7750-6910

Yayımlanma Tarihi 30 Ekim 2019
Kabul Tarihi 21 Ekim 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

APA İlkhan, M., Kara, E. E., & Usta, F. (2019). Numerical Solution of Riesz Fractional Differential Equation via Meshless Method. Conference Proceedings of Science and Technology, 2(1), 94-96.
AMA İlkhan M, Kara EE, Usta F. Numerical Solution of Riesz Fractional Differential Equation via Meshless Method. Conference Proceedings of Science and Technology. Ekim 2019;2(1):94-96.
Chicago İlkhan, Merve, Emrah Evren Kara, ve Fuat Usta. “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”. Conference Proceedings of Science and Technology 2, sy. 1 (Ekim 2019): 94-96.
EndNote İlkhan M, Kara EE, Usta F (01 Ekim 2019) Numerical Solution of Riesz Fractional Differential Equation via Meshless Method. Conference Proceedings of Science and Technology 2 1 94–96.
IEEE M. İlkhan, E. E. Kara, ve F. Usta, “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”, Conference Proceedings of Science and Technology, c. 2, sy. 1, ss. 94–96, 2019.
ISNAD İlkhan, Merve vd. “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”. Conference Proceedings of Science and Technology 2/1 (Ekim 2019), 94-96.
JAMA İlkhan M, Kara EE, Usta F. Numerical Solution of Riesz Fractional Differential Equation via Meshless Method. Conference Proceedings of Science and Technology. 2019;2:94–96.
MLA İlkhan, Merve vd. “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”. Conference Proceedings of Science and Technology, c. 2, sy. 1, 2019, ss. 94-96.
Vancouver İlkhan M, Kara EE, Usta F. Numerical Solution of Riesz Fractional Differential Equation via Meshless Method. Conference Proceedings of Science and Technology. 2019;2(1):94-6.
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