Six numerical schemes for parabolic initial boundary value problems with a priori bounded solution
DOI10.1016/S0168-9274(03)00038-2zbMath1024.65078MaRDI QIDQ1405140
Andrei Yu. Semenov, Stanislav S. Makhanov
Publication date: 25 August 2003
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
convergencecomparison of methodsnumerical examplesfinite-difference schemesadaptive gridRichard's equationparabolic initial boundary value problemdiffusion wave equationGauss-Seidel-type iterative techniqueporous medium flows
Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear dynamics and turbulence
- On a solution of degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces. I, II
- A method of calculating the nonlinear filtration equation for which the solution satisfies bilateral estimates
- A two-dimensional nonnegative algorithm for computing fluid flows in open channels.
- On the generation of curvilinear grids
- A stable non-negative numerical method for calculating the flow of a liquid in an open channel
- Non-Sibsonian interpolation on arbitrary system of points in Euclidean space and adaptive isolines generation
- A two-dimensional finite-element model for river flow inundation
- Solution of Nonlinear Diffusion Problems by Linear Approximation Schemes
- Shooting Methods for One-Dimensional Diffusion-Absorption Problems
- An integrated modelling system for coastal area dynamics
- On the equation of turbulent filtration in one- dimensional porous media
This page was built for publication: Six numerical schemes for parabolic initial boundary value problems with a priori bounded solution
