Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method
From MaRDI portal
Publication:473961
DOI10.1155/2013/672936zbMath1299.65186OpenAlexW2140892790WikidataQ59031434 ScholiaQ59031434MaRDI QIDQ473961
Murat Sari, Gurhan Gurarslan, Mutlu Yasar, Devrim Alkaya, Halil Karahan
Publication date: 24 November 2014
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/672936
Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (8)
A novel method to investigate nonlinear advection-diffusion processes ⋮ Numerical solution of advection-diffusion equation using meshless method of lines ⋮ Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream ⋮ A compact finite difference method for reaction-diffusion problems using compact integration factor methods in high spatial dimensions ⋮ Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation ⋮ Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation ⋮ The numerical solution of advection-diffusion problems using new cubic trigonometric B-splines approach ⋮ Accurate simulation of contaminant transport using high-order compact finite difference schemes
Cites Work
- Unnamed Item
- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants
- High-order compact boundary value method for the solution of unsteady convection-diffusion problems
- Numerical modelling of linear and nonlinear diffusion equations by compact finite difference method
- A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation
- Solution of the porous media equation by a compact finite difference method
- Examination of characteristics method with cubic interpolation for advection-diffusion equation
- Compact finite difference schemes with spectral-like resolution
- Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
- Radial basis function method for 1-D and 2-D groundwater contaminant transport modeling
- Least-squares finite element method for the advection--diffusion equation
- Higher-order semi compact scheme to solve transient incompressible Navier-Stokes equations
- A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations
- Cubic B‐spline differential quadrature methods for the advection‐diffusion equation
- A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation
- Solution of the advection-diffusion equation using the spline function and finite elements
- A compact finite difference method for the solution of the generalized Burgersâ Fisher equation
- Dispersion analysis in homogeneous lakes
- Stability of finite difference approximations to a diffusion-convection equation
- Advection-diffusion modelling using the modified QUICK scheme
- A fourth-order compact finite difference scheme for the steady stream function-vorticity formulation of the Navier-Stokes/Boussinesq equations
- Explicit and implicit meshless methods for linear advection-diffusion-type partial differential equations
- A higher‐order predictor–corrector scheme for two‐dimensional advection–diffusion equation
- Taylor‐Galerkin B‐spline finite element method for the one‐dimensional advection‐diffusion equation
This page was built for publication: Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method
