Sinc-Galerkin method for solving biharmonic problems. (English) Zbl 1338.65253
Summary: There are many techniques available to numerically solve the biharmonic equation. In this paper we show that the sinc-Galerkin method is a very effective tool in numerically solving this equation. Hermite interpolation is used to treat the nonhomogeneous boundary conditions. Our method is tested on examples and comparisons with other methods are made. It is shown that the sinc-Galerkin method yields good results even when singularities occur at the boundaries.
MSC:
| 65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
| 35J40 | Boundary value problems for higher-order elliptic equations |
Keywords:
sinc functions; sinc-Galerkin; biharmonic problems; numerical solutions; Hermite interpolationReferences:
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