Acceso abierto

The high accuracy conserved splitting domain decomposition scheme for solving the parabolic equations


Cite

In this paper, the high accuracy mass-conserved splitting domain decomposition method for solving the parabolic equations is proposed. In our scheme, the time extrapolation and local multi-point weighted average schemes are used to approximate the interface fluxes on interfaces of sub-domains, while the interior solutions are computed by one dimension high-order implicit schemes in sub-domains. The important feature is that the developed scheme keeps mass conservation and are of second-order convergent in time and fourth-order convergent in space. Numerical experiments confirm the convergence.

eISSN:
2444-8656
Idioma:
Inglés
Calendario de la edición:
2 veces al año
Temas de la revista:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics