Summation Method for Fourier Series Associated with a Mixed Problem for the Inhomogeneous Telegraph Equation.
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| Title: | Summation Method for Fourier Series Associated with a Mixed Problem for the Inhomogeneous Telegraph Equation. |
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| Authors: | Lomov, I. S.1 (AUTHOR) lomov@cs.msu.ru |
| Source: | Computational Mathematics & Mathematical Physics. Mar2025, Vol. 65 Issue 3, p522-528. 7p. |
| Subjects: | Fourier series, Separation of variables, Statistical smoothing, Telegraph & telegraphy, Equations |
| Abstract: | A summation method for Fourier series associated with a generalized mixed problem for the telegraph equation in a semi-infinite strip is proposed. The concept of the regularity of a summation method is introduced. It is shown that the generalized sum produced by this method can be used as a solution of the generalized mixed problem. Here, the generalized sum is specified by an exponentially converging function series. In the case of smooth initial data, this series gives a strong solution of the original pro-blem. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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