Abstract
In this chapter, which covers conjugate problems of heat-exchange, approximate analytical solutions of nonlinear boundary problems in one-dimensional and spatial statements are provided. For a nonlinear one-dimensional and three-dimensional boundary problem, the estimation of speed of convergence of the iterative process is found. Comparison of accuracy of solution of one one-dimensional problem of heat-exchange [45] on offered mathematical technology with the known analytical solution of this problem is shown [45]. In a spatial case by a method of trial functions, we show the results of test checks of mathematical technology and a comparison with the known numerical methods and analytical solutions are discussed.
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