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About one especial feature of numerical solution of the Poisson equation

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Abstract

A calculating formula to solve Poisson equation with boundary conditions conforming to its exact solution is proposed. In this formula an inhomogeneous term is replaced by Laplace operator in a revolved coordinate system. The numerical solution received by this formula is considerably more accurate than the solution with using of the tradition form inclusive the inhomogeneous term.

About the Author

A. B. Chaadaev
ИНЭОС им. А.Н. Несмеянова РАН
Russian Federation


References

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2. Фихтенгольц Г.М. Курс дифференциального и интегрального исчисления. - М.: Наука, 1966. Т. 1. 608 с.

3. Самарский А.А. Теория разностных схем. - М.: Наука, 1983. 616


For citation:


Chaadaev A.B. About one especial feature of numerical solution of the Poisson equation. Fine Chemical Technologies. 2011;6(4):111-112. (In Russ.)

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