ROBUST NUMERICAL METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION TYPE PROBLEMS WITH NON-LOCAL BOUNDARY CONDITION
DOI10.3846/mma.2022.14256zbMath1489.65106OpenAlexW4293768468MaRDI QIDQ5083704
Mesfin Mekuria Woldaregay, Habtamu Garoma Debela, Gemechis File Duressa
Publication date: 20 June 2022
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3846/mma.2022.14256
singular perturbationuniform convergenceboundary value problemnon-local boundary conditionnon-standared fitted operator scheme
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Cites Work
- Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
- Uniform second-order difference method for a singularly perturbed three-point boundary value problem
- A brief survey on numerical methods for solving singularly perturbed problems
- A finite difference method for the singularly perturbed problem with nonlocal boundary condition
- The difference schemes for solving singularly perturbed three-point boundary value problem
- High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems
- Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems
- Singular perturbation methods for ordinary differential equations
- Layer-adapted meshes for convection-diffusion problems
- Numerical treatment of nonlocal boundary value problem with layer behaviour
- Existence of solutions of differential equations with nonlinear multipoint boundary conditions
- Existence of solutions to nonlinear differential equations with nonlocal conditions
- Multiple scale and singular perturbation methods
- High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type
- Accelerated exponentially fitted operator method for singularly perturbed problems with integral boundary condition
- Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs
- An adaptive mesh strategy for singularly perturbed convection diffusion problems
- Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems
- Exponential fitted operator method for singularly perturbed convection-diffusion type problems with nonlocal boundary condition
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A NUMERICAL STUDY ON THE DIFFERENCE SOLUTION OF SINGULARLY PERTURBED SEMILINEAR PROBLEM WITH INTEGRAL BOUNDARY CONDITION
- Advances in the Applications of Nonstandard Finite Difference Schemes
- A second-order finite difference scheme for a class of singularly perturbed delay differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: ROBUST NUMERICAL METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION TYPE PROBLEMS WITH NON-LOCAL BOUNDARY CONDITION