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ON SOLUTION OF TWO OPTIMIZATION PROBLEMS GENERATED BY THE SIMPLEST WAVE EQUATION

Annotation

The proposed method for constructing difference schemes based on minimization of the residual functional set in the space of special multivariate splines of arbitrary degree. The effectiveness of the method is shown by the example of the simplest wave equation.

Keywords

interpolation; approximate spline; Chebyshev’s polynomials

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UDC

519.651+517.518.823

Pages

1406-1409

References

1. Rodionov V.I. Ob odnom metode postroeniya raznostnykh skhem // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2013. T. 18. Vyp. 5. S. 2656-2659. 2. Rodionova N.V. Tochnye formuly dlya koeffitsientov i nevyazki optimal'nogo approksimiruyushchego splayna prosteyshego volnovogo uravneniya // Vestn. Udmurtsk. un-ta. Matem. Mekh. Komp'yut. nauki. 2012. Vyp. 1. S. 144-154. 3. Rodionova N.V. Tochnoe reshenie odnoy zadachi optimizatsii, porozhdennoy prosteyshim volnovym uravneniem // Vestn. Udmurtsk. un-ta. Matem. Mekh. Komp'yut. nauki. 2014. Vyp. 1. S. 141-152. 4. Rodionov V.I. O lineynom algoritme chislennogo resheniya kraevoy zadachi dlya prosteyshego volnovogo uravneniya // Vestn. Udmurtsk. un-ta. Matem. Mekh. Komp'yut. nauki. 2015. Vyp. 1. S. 126-144. 5. Rodionov V.I. O primenenii spetsial'nykh mnogomernykh splaynov proizvol'noy stepeni v chislennom analize // Vestn. Udmurtsk. un-ta. Matem. Mekh. Komp'yut. nauki. 2010. Vyp. 4. S. 146-153.

Received

2015-05-05

Section of issue

Scientific articles

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