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ABOUT SOME SUPPLEMENTARY POSSIBILITY FOR NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS

https://doi.org/10.32362/2410-6593-2016-11-1-75-78

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Abstract

A substitution of an non-homogeneous term and of a differential operator by the difference of Laplace operators in the direct co-ordinate system and in the turned one in the partial differential equations of first, second and third order is proposed. The numerical solution obtained by solving the substituting equation corresponds to the exact solution of the initial equations.

About the Author

A. B. Chaadaev
A.N. Nesmeyanov Institute of Organoelement Compounds of the Russian Academy of Sciences
Russian Federation
Moscow, 119991 Russia


References

1. Kantorovich L.V., Krylov V.I. Priblijennye metody chislennogo analisa [Approximative methods of numerical analysis]. Moscow-Leningrad: Gosudarstvennoe izdatelstvo fiziko-matematicheskoi literatury, 1962. 199 p.

2. Chaadaev A.B. // Vestnik MITHT (Fine Chem. Technologies). 2011. Vol. 6. № 4. P. 111–112 (in Russ.).

3. Chaadaev A.B. // Vestnik MITHT (Fine Chem. Technologies). 2013. Vol. 8. № 2. P. 101–102 (in Russ.).

4. Miln W.E. Chislennoe reshenie differencialnyh uravntnii [Numerical solution of differential equations]. Moscow.: Izdatelstvo inostrannoi literatury, 1955. 143 p. (in Russ.).


For citation:


Chaadaev A.B. ABOUT SOME SUPPLEMENTARY POSSIBILITY FOR NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS. Fine Chemical Technologies. 2016;11(1):75-78. https://doi.org/10.32362/2410-6593-2016-11-1-75-78

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