Journal of Mathematical Sciences

, Volume 96, Issue 2, pp 3042–3046

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

• M. M. Voitovich
• S. A. Yaroshko
Article

## 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.

## Keywords

Integral Equation Original Problem Recursive Method Generalize Separation Approximate Separation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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