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Solution of the axisymmetric problem of filtration theory by the method of dual series equations. (Vietnamese. English summary) Zbl 0613.35012

The axisymmetric problem of filtration theory is reduced by an integral transform method to dual series equations. Their theory had been given by the third author [Ukr. Mat. Zh. 35, No.5, 641-644 (1983; Zbl 0537.45004)]. These equations are reduced to integral equations with product kernel. The solution of the last one is obtained by the method of successive approximations.

MSC:

35C15 Integral representations of solutions to PDEs
35A35 Theoretical approximation in context of PDEs
76S05 Flows in porous media; filtration; seepage
35A30 Geometric theory, characteristics, transformations in context of PDEs

Citations:

Zbl 0537.45004
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