Abstract
In the present work, a computer algebra system (CAS) is applied for constructing a new difference scheme of high-accuracy order for solving boundary-value problem for Poisson equation. The formulae of the difference scheme are constructed in the symbol form in CAS. CAS are used for translation of complex formulae to C++ language operators, calculation of arithmetic values of the constructed scheme coefficients and matrix elements of a system of linear algebraic equations for the discrete problem approximating the initial difference problem. Efficiency of the CAS application and of the schemes constructed with its help is shown.KeywordsDirect Numerical SimulationComputer Algebra SystemConvergence OrderOrder SchemeTruncate Taylor SeriesThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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