This paper applies Helmholtz-equation particular solutions in a method-of-fundamental-solutions framework to diffusion and wave initial boundary value problems, with accuracy shown only on toy examples.
Meshless Methods for Numerically Solving Boundary Value Problems of Elliptic Type Partial Differential Equations,
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Solving Diffusion and Wave Equations Meshlessly via Helmholtz Equations
This paper applies Helmholtz-equation particular solutions in a method-of-fundamental-solutions framework to diffusion and wave initial boundary value problems, with accuracy shown only on toy examples.