Conference Paper

Numerical Solution of Riesz Fractional Differential Equation via Meshless Method

Volume: 2 Number: 1 October 30, 2019
EN

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

References

  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

October 30, 2019

Submission Date

October 11, 2019

Acceptance Date

October 21, 2019

Published in Issue

Year 1970 Volume: 2 Number: 1

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, and 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 (October 1, 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, and F. Usta, “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”, Conference Proceedings of Science and Technology, vol. 2, no. 1, pp. 94–96, Oct. 2019, [Online]. Available: 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 (October 1, 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, et al. “Numerical Solution of Riesz Fractional Differential Equation via Meshless Method”. Conference Proceedings of Science and Technology, vol. 2, no. 1, Oct. 2019, pp. 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]. 2019 Oct. 1;2(1):94-6. Available from: https://izlik.org/JA28TW52ZP