The fourth order accuracy decomposition scheme for an evolution problem

Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil

ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 4, pp. 707-722.

In the present work, the symmetrized sequential-parallel decomposition method with the fourth order accuracy for the solution of Cauchy abstract problem with an operator under a split form is presented. The fourth order accuracy is reached by introducing a complex coefficient with the positive real part. For the considered scheme, the explicit a priori estimate is obtained.

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