Stability analysis and numerical simulation of 1-D and 2-D radial flow towards on oil well

DOI10.1016/S0898-1221(96)00242-8zbMath0872.76066MaRDI QIDQ679288

Gabriela B. Savioli, M. Susana Bidner, Pablo M. Jacovkis

Publication date: 23 October 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesparametersimilarity transformationmatrix methodalmost pentadiagonal matrixblock successive over-relaxation method

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Potentials, prospecting (86A20)

Related Items (4)

Unnamed Item ⋮ Application of the \(\varTheta\)-method to a telegraphic model of fluid flow in a dual-porosity medium ⋮ Implicit difference approximation for the time fractional heat equation with the nonlocal condition ⋮ On some numerical methods for solving 2D radial flow towards an oil well

Cites Work

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• Stability of the numerical solution of a parabolic system with integral subsidiary conditions
• Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson)
• The Application of Stability Analysis in the Numerical Solution of Quasi-Linear Parabolic Differential Equations

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