A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems

DOI10.1186/s13662-017-1115-4zbMath1422.65316OpenAlexW2591279958WikidataQ59604110 ScholiaQ59604110MaRDI QIDQ1628608

Navnit Jha, Neelesh Kumar

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1115-4

zbMATH Keywords

convection-diffusion equationfinite-difference methodcompact schememaximum absolute errorirreducible and monotone matrixquasi-variable meshesroot-mean squared error

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Boundary value problems for second-order elliptic systems (35J57)

Related Items (8)

A family of quasi-variable meshes high-resolution compact operator scheme for Burger's-Huxley, and Burger's-Fisher equation ⋮ Fourth‐order compact scheme based on quasi‐variable mesh for three‐dimensional mildly nonlinear stationary convection–diffusion equations ⋮ A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations ⋮ Unnamed Item ⋮ Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh ⋮ Unnamed Item ⋮ A new high order accurate, finite difference method on quasi-variable meshes for the numerical solution of three dimensional Poisson equation ⋮ Variable mesh polynomial spline discretization for solving higher order nonlinear singular boundary value problems

Cites Work

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• Efficient exponential compact higher order difference scheme for convection dominated problems
• A tailored finite point method for convection-diffusion-reaction problems
• A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations
• High-order compact exponential finite difference methods for convection-diffusion type problems
• Analysis of incomplete factorizations for a nine-point approximation to a convection-diffusion model problem
• Digital simulation in electrochemistry
• A comparison of uniformly convergent difference schemes for two- dimensional convection diffusion problems
• Booster method for singularly-perturbed one-dimensional convection-diffusion Neumann problems
• A family of fourth-order difference schemes on rotated grid for two-dimensional convection-diffusion equation
• A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation
• Multigrid method based on transformation-free high-order scheme for solving 2D Helmholtz equation on nonuniform grids
• A third (four) order accurate, nine-point compact scheme for mildly-nonlinear elliptic equations in two space variables
• A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids
• A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations
• A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems
• Computational Methods for Fluid Dynamics
• Steady-state convection-diffusion problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Supra-Convergent Schemes on Irregular Grids
• The Numerical Solution of Second-Order Boundary Value Problems on Nonuniform Meshes
• Families of High Order Accurate Discretizations of Some Elliptic Problems
• Aspects of Numerical Methods for Elliptic Singular Perturbation Problems
• A fourth‐order finite difference scheme for two‐dimensional nonlinear elliptic partial differential equations

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