Numerical solution of sigularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm
DOI10.22124/jmm.2019.14093.1305zbMath1449.35034OpenAlexW2983116350MaRDI QIDQ5212571
Hossein Rafieayanzadeh, Esmail Babolian, Maryam Mohammadi
Publication date: 29 January 2020
Full work available at URL: https://jmm.guilan.ac.ir/article_3572_a9867e221aea64d46e1b7bc1dde3ecc4.pdf
convection-diffusion problemssingularly perturbed parabolic problemsNewton basis functionsadaptive residual subsampling algorithmlocal kernel-based method
Singular perturbations in context of PDEs (35B25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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Cites Work
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- Bases for kernel-based spaces
- An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations
- Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method
- A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem
- A Newton basis for kernel spaces
- Singular perturbation methods for ordinary differential equations
- Local multiquadric approximation for solving boundary value problems
- Multilevel compact radial functions based computational schemes for some elliptic problems
- A piecewise-analytical method for singularly perturbed parabolic problems
- A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers' equation
- A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
- Error estimates and condition numbers for radial basis function interpolation
- Results on meshless collocation techniques
- A computational tool for comparing all linear PDE solvers
- A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers' equations
- Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
- Solvability of partial differential equations by meshless kernel methods
- Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems
- On the (Meshless Local Petrov-Galerkin) MLPG-EshelbyMethod in Computational Finite Deformation SolidMechanics - Part II
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- An improved subspace selection algorithm for meshless collocation methods
- A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay
- A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order
- ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
- A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF NONLINEAR SYSTEMS OF PDES
- Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods
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