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A variational-recursive method of generalized separation of variables for solving multidimensional integral equations

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Abstract

We describe a recursive method of solving multidimensional integral equations. An approximate separation of variables holds at each step from the condition for minimizing a suitable functional. The original problem is reduced to a sequence of one-dimensional problems. Several versions of the algorithm are given.

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Authors
  1. M. M. Voitovich
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  2. S. A. Yaroshko
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 122–126.

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Voitovich, M.M., Yaroshko, S.A. A variational-recursive method of generalized separation of variables for solving multidimensional integral equations. J Math Sci 96, 3042–3046 (1999). https://doi.org/10.1007/BF02169704

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  • DOI: https://doi.org/10.1007/BF02169704

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