An \(\varepsilon \)-uniformly convergent method for singularly perturbed parabolic problems exhibiting boundary layers
DOI10.11948/20220382MaRDI QIDQ6612494
Arshad Khan, Author name not available (Why is that?), Geetan Manchanda
Publication date: 30 September 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
collocation methodparabolic partial differential equationssingular perturbationsShishkin meshB-splinesCrank-Nicolson methodparameter-uniform convergence
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
- A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem
- On exponential splines
- Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
- An exponentially-fitted method for singularly perturbed, one-dimensional, parabolic problems
- A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
- Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay
- Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet
- A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem
- A high-order numerical algorithm for solving Lane-Emden equations with various types of boundary conditions
- Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems
- On the convergence of odd-degree spline interpolation
- On error bounds for spline interpolation
- An almost second order hybrid scheme for the numerical solution of singularly perturbed parabolic turning point problem with interior layer
- A new numerical algorithm for time-dependent singularly perturbed differential-difference convection-diffusion equation arising in computational neuroscience
- A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point
- Semiconductor device modelling from the numerical point of view
- Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point
- Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems
- A fast and accurate computational technique for efficient numerical solution of nonlinear singular boundary value problems
- Anϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem
- Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions
- Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives
- A parameter‐uniform scheme for the parabolic singularly perturbed problem with a delay in time
- A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models
This page was built for publication: An \(\varepsilon \)-uniformly convergent method for singularly perturbed parabolic problems exhibiting boundary layers
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612494)
