A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems
DOI10.1016/j.rinam.2023.100417OpenAlexW4389215433MaRDI QIDQ6197592
M. A. Rufai, Higinio Ramos, Bruno Carpentieri
Publication date: 20 March 2024
Published in: Results in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.rinam.2023.100417
singularly perturbed problemadaptive formulationhybrid block techniqueparabolic convection-diffusion problem
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Methods of ordinary differential equations applied to PDEs (35A24) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Cites Work
- Layer-adapted methods for quasilinear singularly perturbed delay differential problems
- Parameter-robust numerical method for a system of singularly perturbed initial value problems
- Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid
- Convergence analysis of finite element methods for singularly perturbed problems
- A parameter uniform difference scheme for singularly perturbed parabolic delay differential equation with Robin type boundary condition
- Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm
- Numerical solution of Bratu's and related problems using a third derivative hybrid block method
- Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods
- Finite element analysis of an exponentially graded mesh for singularly perturbed problems
- A uniformly convergent quadratic \(B\)-spline based scheme for singularly perturbed degenerate parabolic problems
- A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution
- Parameter-uniform numerical scheme for singularly perturbed parabolic convection-diffusion Robin type problems with a boundary turning point
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Semiconductor device modelling from the numerical point of view
- Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems
- A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers
- An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems
- On a quasi-linear parabolic equation occurring in aerodynamics
- Numerical Methods for Ordinary Differential Equations
- A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems
- A higher order uniformly convergent method for singularly perturbed parabolic turning point problems
- Fitted cubic spline scheme for two-parameter singularly perturbed time-delay parabolic problems
- Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral boundary condition
- An adaptive optimized Nyström method for second‐order IVPs
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