A note on the Taylor's decomposition on five points and its applications to differential equations

M.A. Ashyralyeva

Abstract


In the present paper the Taylor's decomposition on five points is presented. Four-step difference schemes generated by the Taylor's decomposition on five points for the numerical solutions of an initial-value problem and a boundary value problem for the fourth order differential equations are presented. The theoretical statements for the solution of these difference schemes are supported by the results of numerical experiments.

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