6533b821fe1ef96bd127c269
RESEARCH PRODUCT
SPECIAL HPERBOLIC TYPE APPROXIMATION FOR SOLVING OF 3-D TWO LAYER STATIONARY DIFFUSION PROBLEM
Ilmars KangroĒRika TeirumniekaEdmunds TeirumnieksHarijs Kalissubject
PhysicsDiffusion problemconservative averaging method; finite-difference method; diffusion problem; special splinesMathematical analysisTwo layerType (model theory)description
In this paper we examine the conservative averaging method (CAM) along the vertical z-coordinate for solving the 3-D boundary-value 2 layers diffusion problem. The special parabolic and hyperbolic type approximation (splines), that interpolate the middle integral values of piece-wise smooth function, is investigated. With the help of these splines the problems of mathematical physics in 3-D with respect to one coordinate are reduced to problems for system of equations in 2-D in every layer. This procedure allows reduce also the 2-D problem to a 1-D problem and the solution of the approximated problem can be obtained analytically. As the practical application of the created mathematical model, we are studying the calculation of the concentration of heavy metal calcium (Ca) in a two-layer peat block.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-06-20 | ENVIRONMENT. TECHNOLOGIES. RESOURCES. Proceedings of the International Scientific and Practical Conference |