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A numerical method is described and analyzed for the solution of the exterior Dirichlet problem for the Helmholtz equation in three dimensions. The problem is first reformulated as a Fredholm integral ...
References [1] Investigating algebraic topological method for solving 3D Laplace equation in electrostatic boundary value problems. Computer Physics Communications (2023).
Since the solution of a second-kind Volterra integral equation with weakly singular kernel has, in general, unbounded derivatives at the left endpoint of the interval of integration, its numerical ...