A numerical method based on Crank-Nicolson scheme for Burgers' equation

@article{Kadalbajoo2006ANM,
  title={A numerical method based on Crank-Nicolson scheme for Burgers' equation},
  author={Mohan K. Kadalbajoo and Ashish Awasthi},
  journal={Applied Mathematics and Computation},
  year={2006},
  volume={182},
  pages={1430-1442}
}
In this paper, we present a solution based on Crank-Nicolson finite difference method for one-dimensional Burgers’ equation. Burgers’ equation arises frequently in mathematical modeling of problems in fluid dynamics. Hopf-Cole transformation [E. Hopf, The partial differential equation ut + uux = muxx, Commun. Pure Appl. Math. 3 (1950) 201–230, J.D. Cole, On a quasilinear parabolic equation occurring in aerodynamics, Quart. Appl. Math. 9 (1951) 225–236] is used to linearize Burgers’ equation… CONTINUE READING
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References

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Showing 1-9 of 9 references

Numerical solution of one-dimensional Burgers equation: explicit and exact explicit methods

  • S. Kutluay, A. R. Bahadir, A. Ozdes
  • J. Comp. Appl. Math. 103
  • 1998
Highly Influential
4 Excerpts

Some recent researches in motion of fluids

  • H. Bateman
  • Mon. Weather Rev. 43
  • 1915
Highly Influential
3 Excerpts

Poonam Singhal

  • R. C. Mittal
  • Numerical solution of periodic Burgers equation…
  • 1996
Highly Influential
3 Excerpts

Numerical solution of periodic Burgers equation

  • Mittal, Poonam Singhal
  • Indian J . Pure Appl . Math .
  • 1996

Numerical solution of Burgers equation

  • Poonam Singhal
  • Commun . Numer . Methods Eng .
  • 1993

The partial differential equation ut + uux = muxx

  • E. Hopf
  • Commun. Pure Appl. Math. 3
  • 1950
3 Excerpts

A mathematical model illustrating the theory of turbulence

  • J. M. Burgers
  • Advances in Applied Mechanics, 1, Academic Press…
  • 1948
1 Excerpt

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