A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh

Kumar, N.; Toprakseven, S.; Singh Yadav, N.; Yuan, J.Y.

doi:10.1016/j.apnum.2024.03.013

Applied Numerical Mathematics

2024

DOI: 10.1016/j.apnum.2024.03.013

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A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh

N. Kumar,

S. Toprakseven,

N. Singh Yadav

et al.

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An effective numerical approach for solving a system of singularly perturbed differential–difference equations in biology and physiology

Kumari,

Singh,

Kumar

2025

Mathematics and Computers in Simulation

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An effective numerical approach for solving a system of singularly perturbed differential–difference equations in biology and physiology

Kumari,

Singh,

Kumar

2025

Mathematics and Computers in Simulation

View full text Add to dashboard Cite

A weak Galerkin finite element method for parabolic singularly perturbed convection-diffusion equations on layer-adapted meshes

Toprakseven,

Dinibutun

2024

era

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<p>In this paper, we designed and analyzed a weak Galerkin finite element method on layer adapted meshes for solving the time-dependent convection-dominated problems. Error estimates for semi-discrete and fully-discrete schemes were presented, and the optimal order of uniform convergence has been obtained. A special interpolation was delicately designed based on the structures of the designed method and layer-adapted meshes. We provided various numerical examples to confirm the theoretical findings.</p>

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A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh

Cited by 2 publications

References 31 publications

An effective numerical approach for solving a system of singularly perturbed differential–difference equations in biology and physiology

An effective numerical approach for solving a system of singularly perturbed differential–difference equations in biology and physiology

A weak Galerkin finite element method for parabolic singularly perturbed convection-diffusion equations on layer-adapted meshes

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