Research Article

Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform

Volume: 13 Number: 2 November 1, 2016
EN

Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform

Abstract

In this paper, we use Hopf-Cole transform to solve conformable Burgers’ equation. After applying Hopf-Cole transform to conformable Burgers’ equation, we achieve conformable heat equation. Subsequently by using Fourier transform we have the exact solution of conformable Burgers’ equation with fractional order

Keywords

References

  1. [1] H. Bateman, Some Recent Researches on the Motion of Fluids, Monthly Weather Rev. 43, (1915), 163-170.
  2. [2] L. Debnath, Partial Differential Equations for Scientists and Engineers, Birkh ¨auser, Boston (1997).
  3. [3] J. M. Burger, Mathematical Examples Illustrating the relations Occurring in the Theory of Turbulent Fluid Motion, Trans. Roy. Neth. Acad. Sci. Amsterdam 17, (1939), 1-53.
  4. [4] J. M. Burger, A Mathematical Model Illustrating the Theory of Turbulence, in Advances Applied Mechanics 1, Academic Press, New York (1948).
  5. [5] J. D. Cole, On a Quasi Linear Parabolic Equation Occurring in Aerodynamics, Quart. Apply. Math. 9, (1951), 225-236.
  6. [6] E. Varoglu, W.D.L. Finn, Space-Time Finite Incorporating Characteristics for the Burgers’ Equation, Internat. J. Number. Methods Engrg. 16, (1980), 171-184.
  7. [7] D.T. Blackstock, Termaviscous Attenuation of Plane, Peridodic, Finite-amplitude Sound Waves, The Journal of Acoustical Society of America 36, (1964).
  8. [8] Z.A. Goldberg, Finite-Amplitude Waves in Magnetohydrodynamics, Soviet Physics Jetp 15, (1962), 179-181.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ali Kurt This is me

Yucel Cenesiz This is me

Publication Date

November 1, 2016

Submission Date

October 15, 2017

Acceptance Date

-

Published in Issue

Year 2016 Volume: 13 Number: 2

APA
Kurt, A., Cenesiz, Y., & Tasbozan, O. (2016). Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform. Cankaya University Journal of Science and Engineering, 13(2). https://izlik.org/JA46BL89DA
AMA
1.Kurt A, Cenesiz Y, Tasbozan O. Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform. CUJSE. 2016;13(2). https://izlik.org/JA46BL89DA
Chicago
Kurt, Ali, Yucel Cenesiz, and Orkun Tasbozan. 2016. “Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform”. Cankaya University Journal of Science and Engineering 13 (2). https://izlik.org/JA46BL89DA.
EndNote
Kurt A, Cenesiz Y, Tasbozan O (November 1, 2016) Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform. Cankaya University Journal of Science and Engineering 13 2
IEEE
[1]A. Kurt, Y. Cenesiz, and O. Tasbozan, “Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform”, CUJSE, vol. 13, no. 2, Nov. 2016, [Online]. Available: https://izlik.org/JA46BL89DA
ISNAD
Kurt, Ali - Cenesiz, Yucel - Tasbozan, Orkun. “Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform”. Cankaya University Journal of Science and Engineering 13/2 (November 1, 2016). https://izlik.org/JA46BL89DA.
JAMA
1.Kurt A, Cenesiz Y, Tasbozan O. Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform. CUJSE. 2016;13. Available at https://izlik.org/JA46BL89DA.
MLA
Kurt, Ali, et al. “Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform”. Cankaya University Journal of Science and Engineering, vol. 13, no. 2, Nov. 2016, https://izlik.org/JA46BL89DA.
Vancouver
1.Ali Kurt, Yucel Cenesiz, Orkun Tasbozan. Exact Solution for the Conformable Burgers’ Equation by the Hopf-Cole Transform. CUJSE [Internet]. 2016 Nov. 1;13(2). Available from: https://izlik.org/JA46BL89DA