Highly Influenced

# 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} }

- Published 2006 in Applied Mathematics and Computation
DOI:10.1016/j.amc.2006.05.030

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

#### From This Paper

##### Figures, tables, and topics from this paper.

#### Citations

##### Publications citing this paper.

#### References

##### Publications referenced by this paper.

Showing 1-9 of 9 references

Highly Influential

Highly Influential

Highly Influential