Geodesic
Approximation of a nonlinear parabolic filtering equation with a loaded mixed-type equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 127-132

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In the framework of the development of search methods for effective approximate analytical methods for solving a generalized nonlinear partial differential equation of second order of parabolic type, which is the basis for solving long-term forecast problems of groundwater regime, a method of its reduction to linear differential equations of mixed type with associated boundary integral conditions.
Keywords: nonlinear parabolic equation, local and nonlocal boundary conditions,  approximation, integral condition, loaded equations, equations of mixed type. 
@article{VKAM_2018_4_a12,
     author = {L. I. Serbina},
     title = {Approximation of a nonlinear parabolic filtering equation with a loaded mixed-type equation},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {127--132},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2018_4_a12/}
}
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L. I. Serbina. Approximation of a nonlinear parabolic filtering equation with a loaded mixed-type equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 127-132. http://geodesic.mathdoc.fr/item/VKAM_2018_4_a12/