Approaches to mixed Dirichlet-Neumann boundary condition in the method of separation of variables

摘要

Three methods of taking into account the mixed Dirichlet and Neumann boundary condition in the method of separation of variables were considered: the collocation, the series expansion and series subtraction. Determining the coefficients in the solution series requires solving a linear system of algebraic equations. The most acceptable results are obtained for the collocation method, which is also the simplest one.