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On some possible applications of Laplace operator in a revolved coordinate system for numerical calculations

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Abstract

The Laplace operator in a revolved coordinate system (the “revolved” Laplace operator) is introduced in numerical mesh method along diagonal lines. In this paper an attempt is made to use it for numerical solution of the two-dimensional Poisson equation. Advantages and disadvantages of this approach and difficulties in its realization are discussed.

About the Author

A. B. Chaadaev
A.N. Nesmeyanov Institute of Organoelement Compounds of the Russian Academy of Sciences, Moscow, 119571
Russian Federation


References

1. Чаадаев А.Б. Об одной особенности численного решения уравнения Пуассона // Вестник МИТХТ. 2011. Т. 6. № 4. С. 111−112.

2. Алексеев Б.В. Ламинарный пограничный слой у сублимирующей поверхности // Журн. вычислительной математики и математической физики. 1964. Т. 4. № 3. С. 512–524.


For citation:


Chaadaev A.B. On some possible applications of Laplace operator in a revolved coordinate system for numerical calculations. Fine Chemical Technologies. 2013;8(2):101-102. (In Russ.)

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ISSN 2410-6593 (Print)
ISSN 2686-7575 (Online)