Abstract:
This article describes a semi-batch nonlinear boundary value problem for differential equations
with partial
derivatives. The equations containing arbitrary parameters were considered in Whitham G.B. Such
equations are encountered in some problems of chemical technology and chromatography. Replacing u =
ekz in a nonlinear problem with arbitrary functions leads to a semi-batch linear boundary value
problem for hyperbolic equations. Introducing a new unknown function, semi-batch linear boundary
value problem for hyperbolic equations with mixed derivative reduced to the family of boundary
value problems for ordinary differential equations and functional relation. Using the method of
parameterization to the family of boundary value problems for ordinary differential equations, We
find approximate solutions of equations
in this area. The proposed method is illustrated by an example.
