APPLICATION OF THE MULTIQUADRIC METHOD FOR NUMERICAL-SOLUTION OF ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS

We have used the multiquadric (MQ) approximation scheme for the soluti on of elliptic partial differential equations with Dirichlet and/or Ne umann boundary conditions. The scheme has the advantage of using the d ata points in arbitrary locations with an arbitrary ordering. Two-dime nsional Laplace, Poisson, and biharmonic equations describing the vari ous physical processes have been taken as the test examples. The agree ment is found to be very good between the computed and exact solutions . The method also provides an excellent approximation with a curved bo undary. (C) Elsevier Science Inc., 1997.