Applied Mathematics & Information Sciences

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The boundary knot method (BKM) is a kind of boundary-type meshless method, only boundary points are needed in the solution process. Like the boundary element method and method of fundamental solutions, the BKM needs nonsingular general solutions of governing equations. Therefore, collocation points and source points can be located on the physical boundary simultaneously which is superior in dealing with Helmholtz problems. In this paper, the BKM is extended to investigate acoustic problems with high wavenumbers. By comparing with the finite element method, numerical results show that the BKM has excellent advantages in dealing with high wave number acoustic problems.