Combination of the Laguerre Transform with the Boundary-element Method for the Solution of Integral Equations with Retarded Kernel-Reference-Cited by-同舟云学术

Combination of the Laguerre Transform with the Boundary-element Method for the Solution of Integral Equations with Retarded Kernel

Published:2018-11-05 Issue:1 Volume:236 Page:98-114
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Litynskyy S. V.,Muzychuk Yu. А.,Muzychuk А. О.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/article/10.1007/s10958-018-4100-x/fulltext.html

Reference28 articles.

1. V. A. Galazyuk, “Method of Chebyshev–Laguerre polynomials in a mixed problem for a linear differential equation of the second order with constant coefficients,” Dop. Akad. Nauk Ukr. RSR. Ser. А, No. 1, 3–7 (1981).

2. N. S. Koshlyakov, É. B. Gliner, and M. M. Smirnov, Partial Differential Equations of Mathematical Physics [in Russian], Vysshaya Shkola, Moscow (1970).

3. S. V. Litynskyy and A. O. Muzychuk, “Solution of mixed problems for the wave equation with the use of retarded surface potentials and Laguerre transform,” Mat. Studii, 44, No. 2, 185–203 (2015).

4. S. Litynskyy, Yu. Muzychuk and A. Muzychuk, “On weak solutions of boundary-value problems for an infinite triangular system of elliptic equations,” Visn. L’viv. Univ. Ser. Prykl. Mat. Inform., Issue 15, 52–70 (2009).

5. I. V. Lyudkevich and A. E. Muzychuk, Numerical Solutions of Boundary-Value Problems for the Wave Equation [in Russian], Lvov State University, Lvov (1990).

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