The \(\ell_p\) stability of some difference schemes for one system of nonlinear parabolic equations. (Russian. English summary) Zbl 1115.65359

Akysh, A. Sh.

Sib. Zh. Vychisl. Mat. 8, No. 4, 273-280 (2005).

Summary: The stability in the space \(\ell_p\) for certain difference schemes for one system of nonlinear parabolic equations is proved.

MSC:

65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65N12	Stability and convergence of numerical methods for boundary value problems involving PDEs

Keywords:

system of nonlinear parabolic equations; stability in the space \(l_p\) of difference schemes; explicit scheme; implicit scheme; splitting scheme