Numerical investigation of the parabolic mixed derivative diffusion equation via alternating direction implicit methods
DOI10.1016/j.camwa.2013.08.025zbMath1350.65089OpenAlexW2035704632MaRDI QIDQ316154
M. Sathinarain, Charis Harley, Ebrahim Momoniat
Publication date: 26 September 2016
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2013.08.025
stabilityerror analysisviscoelasticitykinematic viscositytwo-dimensional flowvon Neumann analysisalternating direction implicit methodshigher-grade fluid
Initial-boundary value problems for second-order parabolic equations (35K20) Incompressible viscous fluids (76D99) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Uses Software
Cites Work
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- Comment on `A point source solution for unidirectional flow of a viscoelastic fluid' [Phys. Lett. A 372 (2008) 4041]
- A note on unsteady unidirectional flows of a non-Newtonian fluid
- A point source solution for unidirectional flow of a viscoelastic fluid
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate
- Transient flows of a second grade fluid
- High-order compact ADI methods for parabolic equations
- On the creeping flow of the second-order fluid
- Compact finite difference schemes with spectral-like resolution
- Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
- Highly accurate compact implicit methods and boundary conditions
- A three-point combined compact difference scheme
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Numerical solution of the three-dimensional advection--diffusion equation.
- Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition
- A new ADI technique for two-dimensional parabolic equation with an integral condition
- Stable and accurate boundary treatments for compact, high-order finite- difference schemes
- High-order compact-difference schemes for time-dependent Maxwell equations
- High order ADI method for solving unsteady convection-diffusion problems
- Summation by parts operators for finite difference approximations of second derivatives
- Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
- Compact implicit MacCormack-type schemes with high accuracy
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- High-order compact schemes for nonlinear dispersive waves
- Improved forms of the alternating direction methods of Douglas, Peaceman, and Rachford for solving parabolic and elliptic equations
- Extension of high-order compact schemes to time-dependent problems
- Peaceman‐Rachford ADI scheme for the two dimensional flow of a second‐grade fluid
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Time‐splitting procedures for the solution of the two‐dimensional transport equation
- An efficient high-order algorithm for solving systems of reaction-diffusion equations
- Compact ADI method for solving parabolic differential equations
- Alternating direction implicit methods for two-dimensional diffusion with a non-local boundary condition
- On error bounds of finite difference approximations to partial differential equations. -- Temporal behavior and rate of convergence
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