Multigrid solution for the cauchy problem associated with helmholtz type equation on non uniform grids

Abstract

In this paper, an HOC scheme with multigrid algorithm is developed for solving the Cauchy problem associated with two dimensional Helmholtz type equations. The suggested scheme has up to fourth order accuracy. Lastly, some numerical experiments are given to show the accuracy and performance of the proposed scheme.

Keywords

• Helmholtz equation
• Compact iterative schemes
• Multigrid method
• Cauchy problem Nonuniform grids.