Modification of a method of generalized separation of variables for the solution of multidimensional integral equations

Modification of a method of generalized separation of variables for the solution of multidimensional integral equations

We describe a method of generalized separation of variables for the solution of multidimensional integral equations and its modification minimizing the deviation of an approximate solution from the exact one. The convergence of the modified method is proved. A comparison of methods on the basis of n...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-03, Vol.181 (3), p.340-349
1. Verfasser: Biletskyy, V. M.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We describe a method of generalized separation of variables for the solution of multidimensional integral equations and its modification minimizing the deviation of an approximate solution from the exact one. The convergence of the modified method is proved. A comparison of methods on the basis of numerical results is presented.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-0689-3