Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation

@inproceedings{Radwan2005ComparisonOH,
  title={Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation},
  author={Samir F. Radwan},
  year={2005}
}
This paper is devoted to the testing and comparison of numerical solutions obtained from higher-order accurate finite difference schemes for the two-dimensional Burgers' equation having moderate to severe internal gradients. The fourth-order accurate two-point compact scheme, and the fourth-order accurate Du Fort Frankel scheme are derived. The numerical stability and convergence are presented. The cases of shock waves of severe gradient are solved and checked with the fourth-order accurate Du… CONTINUE READING

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