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Numerical Solution of Riesz Fractional Differential Equation via Meshless Method

Cilt: 2 Sayı: 1 30 Ekim 2019
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Numerical Solution of Riesz Fractional Differential Equation via Meshless Method

Abstract

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.

Keywords

Kaynakça

  1. [1] U. Katugampola, A new fractional derivative with classical properties, ArXiv:1410.6535v2.
  2. [2] MD. Buhmann, Radial Basis Functions: Theory and Implementations, Cambridge University Press, 2003.
  3. [3] W. Cheney and W. Light, A Course in Approximation Theory, William Allan, New York, 1999.
  4. [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. [5] C. Franke and R. Schaback, Solving partial differential equations by collocation using radial basis functions, Appl. Math. Comput. , 93 (1998) 73-82.
  6. [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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Konferans Bildirisi

Yayımlanma Tarihi

30 Ekim 2019

Gönderilme Tarihi

11 Ekim 2019

Kabul Tarihi

21 Ekim 2019

Yayımlandığı Sayı

Yıl 1970 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. https://izlik.org/JA28TW52ZP
AMA
1.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):94-96. https://izlik.org/JA28TW52ZP
Chicago
İlkhan, Merve, Emrah Evren Kara, ve Fuat Usta. 2019. “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”. Conference Proceedings of Science and Technology 2 (1): 94-96. https://izlik.org/JA28TW52ZP.
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
[1]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, Eki. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA28TW52ZP
ISNAD
İlkhan, Merve - Kara, Emrah Evren - Usta, Fuat. “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”. Conference Proceedings of Science and Technology 2/1 (01 Ekim 2019): 94-96. https://izlik.org/JA28TW52ZP.
JAMA
1.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, Ekim 2019, ss. 94-96, https://izlik.org/JA28TW52ZP.
Vancouver
1.Merve İlkhan, Emrah Evren Kara, Fuat Usta. Numerical Solution of Riesz Fractional Differential Equation via Meshless Method. Conference Proceedings of Science and Technology [Internet]. 01 Ekim 2019;2(1):94-6. Erişim adresi: https://izlik.org/JA28TW52ZP