Solving parabolic equations by using the method of fast convergent iterations
Solving parabolic equations by using the method of fast convergent iterations
The paper is devoted to approximations of the fundamental solution of a second order parabolic equation. These approximations are rather complicated and make use of a special geometry and manifold but they lead to faster convergence than the standard parametrix ones. Results of numerical experiments are given.
- University of Zielona Góra Poland
fundamental solution, Riemannian manifold, parabolic equations, Fundamental solutions to PDEs, method of fast convergent iterations, iteration technique, 510, numerical simulation, parametrix method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, numerical experiments, rate of convergence
fundamental solution, Riemannian manifold, parabolic equations, Fundamental solutions to PDEs, method of fast convergent iterations, iteration technique, 510, numerical simulation, parametrix method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, numerical experiments, rate of convergence
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