Solution of the Diffusion Equation in R-Z Geometry by the Difference Potentials Method.
Abstract:
An algorithm for solving the diffusion equation in R-Z geometry by the Difference Potentials Method is proposed. This algorithm is efficient for the problems with zone structure of computational domain. The algorithm is evaluated to require O(|ln ε|) iterations to find the solution with prescribed accuracy ε > 0. The number of iterations is shown to depend on the mesh sizes weakly.
Publication language:russian
Research direction:
Mathematical problems and theory of numerical methods