A modified graded mesh and higher order finite element method for singularly perturbed reaction-diffusion problems
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Publication:2661417
DOI10.1016/j.matcom.2021.01.006OpenAlexW3122422644MaRDI QIDQ2661417
Nitika Sharma, Manju Sharma, Aditya Kaushik, Vijayant Kumar
Publication date: 7 April 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.01.006
Related Items (2)
A higher-order hybrid finite difference method based on grid equidistribution for fourth-order singularly perturbed differential equations ⋮ An efficient numerical technique for solving nonlinear singularly perturbed reaction diffusion problem
Cites Work
- Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems
- A note on the energy norm for a singularly perturbed model problem
- A modification of the Shishkin discretization mesh for one-dimensional reaction-diffusion problems
- High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems
- Layer-adapted meshes for reaction-convection-diffusion problems
- Derivative error bounds for Lagrange interpolation: An extension of Cauchy's bound for the error of Lagrange interpolation
- Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem
- Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations
- Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012
- Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
- A modified graded mesh and higher order finite element approximation for singular perturbation problems
- A modified Bakhvalov mesh
- Spline approach to the solution of a singularly-perturbed boundary-value problems
- Variable-mesh difference scheme for singularly-perturbed boundary-value problems using splines
- Grid equidistribution for reaction-diffusion problems in one dimension
- A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem
- Graded Meshes for Higher Order FEM
- Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids
- Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems
- A higher order finite element method with modified graded mesh for singularly perturbed two‐parameter problems
- Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem
- Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems
- On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
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