engleski

Explicit Stable Methods for the Initial Value Problem for 2-nd Order Parabolic Systems

A class of numerical methods for ODE which are explicit, absolutely stable, and of any order of convergence, is constructed. Methods can be efficiently applied to those initial value problems for the $2^{nd}$-order parabolic system which have solutions with finite $L_1$-norms. Numerical procedure consists of two basic steps. The space discretizations of elliptic operator must have compartmental structure, and the resulting ODE are solved by constructed numerical methods.

Parabolic systems; finite difference schemes

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