Approximation of a method of iterations of Landveber for the net equation
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Keywords:
the return a problem, a problem of acoustics, Landveber's iteration, discrete analog, a gradient, the interfaced problemAbstract
In this article approach at the numerical solution of the return problem of acoustics is considered by method of iterations of Landveber. The considered approach consists in the following: for restoration of unknown coefficient in the differential equation we have statement of a direct problem and additional information on the solution of a direct problem. We write out functionality nonviscous, we receive statement of the interfaced problem. Further by means of solutions of a straight line and the interfaced problem we receive a functionality gradient nonviscous [1]. Then for the numerical solution of the return problem from statement of a direct problem we pass to a problem which we will solve on the computer in number.References
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2. Samara A. A. Introduction to the theory of differential schemes. – M.: Science, 1971. – 553 p.
3. Nurseitova A.T., Tyulepberdinova G. A. Skhodimost of a method of iterations of Landveber for the solution of a problem of determination of acoustic rigidity // The Messenger of KAZNPU of Abay. Almaty – 2008. – Vol. 21, No. 1. – P. 215-217. – Physical and Mathematical Sciences series.
4. Tyulepberdinova G. A., Аdilzhanov S. A. Return problem of acoustics and its conditional correctness // International Journal of Mathematics and Physics, Almaty, Kazakhstan – 2014. – Vol.2, No 5.– P.7-13.
2. Samara A. A. Introduction to the theory of differential schemes. – M.: Science, 1971. – 553 p.
3. Nurseitova A.T., Tyulepberdinova G. A. Skhodimost of a method of iterations of Landveber for the solution of a problem of determination of acoustic rigidity // The Messenger of KAZNPU of Abay. Almaty – 2008. – Vol. 21, No. 1. – P. 215-217. – Physical and Mathematical Sciences series.
4. Tyulepberdinova G. A., Аdilzhanov S. A. Return problem of acoustics and its conditional correctness // International Journal of Mathematics and Physics, Almaty, Kazakhstan – 2014. – Vol.2, No 5.– P.7-13.
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Tyulepberdinova, G. A., Adilzhanova, S. A., & Temirbekova, Z. E. (2015). Approximation of a method of iterations of Landveber for the net equation. International Journal of Mathematics and Physics, 6(2), 61–63. Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/150
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Informatics and Mathematical Modeling
