Cheban, V. G.; Kerchman, V. I.; Prokopov, G. P. Difference-characteristic method for solution of plane and axisymmetric problems of the dynamics of porous media saturated by a fluid. (Russian) Zbl 0534.76097 Mat. Issled. 64, 144-158 (1981). The basic equations by which the motion of elasto-porous media is described are written as a first-order partial differential system with eight unknown functions: the first time derivatives of the solid and liquid phases displacements, the steam pressure and the strains. Using the ”one-dimensional” systems of equations obtained from the basic system by striking the derivatives along the other directions, difference schemes are constructed and discussed for realization. Reviewer: V.A.Kostova MSC: 76S05 Flows in porous media; filtration; seepage 76M99 Basic methods in fluid mechanics 65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs Keywords:saturated; motion of elasto-porous media; first time derivatives of solid and liquid displacements; first-order partial differential system; steam pressure; strains; difference schemes PDFBibTeX XMLCite \textit{V. G. Cheban} et al., Mat. Issled. 64, 144--158 (1981; Zbl 0534.76097) Full Text: EuDML