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A Method of Treating Boundary Singularities in Time-Dependent Problems

A Method of Treating Boundary Singularities in Time-Dependent Problems

A method is presented for treating singularities which occur in solutions of parabolic partial differential equations due to sharp corners in the boundary. The method is essentially an extension of the method due to Motz (1946) for solving elliptic problems and approximates to the analytical form of the singularity in …