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Mathematical methods in the applied sciences, 2021
In this work, we consider a graded mesh refinement algorithm for solving time‐delayed parabolic partial differential equations with a small diffusion parameter. The presence of this parameter leads to boundary layer phenomena.
Kamalesh Kumar +3 more
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In this work, we consider a graded mesh refinement algorithm for solving time‐delayed parabolic partial differential equations with a small diffusion parameter. The presence of this parameter leads to boundary layer phenomena.
Kamalesh Kumar +3 more
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Advances in Applied Mathematics and Mechanics, 2020
In this paper, a localized space-time method of fundamental solutions (LSTMFS) is proposed to solve the diffusion and convection-diffusion problems. The proposed LSTMFS only requires some arbitrarily-distributed nodes inside the spacetime domain and ...
Fajie Wang
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In this paper, a localized space-time method of fundamental solutions (LSTMFS) is proposed to solve the diffusion and convection-diffusion problems. The proposed LSTMFS only requires some arbitrarily-distributed nodes inside the spacetime domain and ...
Fajie Wang
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Mathematical methods in the applied sciences, 2020
This work is concerned with the development of a stable finite difference method (SFDM) for time‐fractional singularly perturbed convection–diffusion problems with a delay in time. The fractional derivative is considered in the Caputo sense.
Kamalesh Kumar +2 more
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This work is concerned with the development of a stable finite difference method (SFDM) for time‐fractional singularly perturbed convection–diffusion problems with a delay in time. The fractional derivative is considered in the Caputo sense.
Kamalesh Kumar +2 more
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Journal of Computational and Applied Mathematics, 2020
We consider a class of singularly perturbed degenerate parabolic convection–diffusion problems on a rectangular domain. A numerical method is constructed using the implicit Euler scheme on a uniform mesh in the time direction and the upwind finite ...
Sunil Kumar, Sumit, J. Vigo-Aguiar
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We consider a class of singularly perturbed degenerate parabolic convection–diffusion problems on a rectangular domain. A numerical method is constructed using the implicit Euler scheme on a uniform mesh in the time direction and the upwind finite ...
Sunil Kumar, Sumit, J. Vigo-Aguiar
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Hybrid Cbsqi-Weno Schemes for Convection Diffusion Problems
International Journal for Numerical Methods in Fluids, 2023ABSTRACTThe B‐spline Quasi‐Interpolation (BSQI) based numerical scheme is a successful method for obtaining the solution to partial differential equations under sufficient regularity conditions. However, it can lead to instability and spurious oscillations in the numerical solution when high gradients or discontinuities are present.
Barik, Prasanta Kumar +3 more
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, 2020
Robust finite difference method is introduced in order to solve singularly perturbed two parametric parabolic convection-diffusion problems.
T. A. Bullo, G. Duressa, G. Degla
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Robust finite difference method is introduced in order to solve singularly perturbed two parametric parabolic convection-diffusion problems.
T. A. Bullo, G. Duressa, G. Degla
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Mathematical methods in the applied sciences, 2018
In the present work, we consider a parabolic convection‐diffusion‐reaction problem where the diffusion and convection terms are multiplied by two small parameters, respectively.
M. Chandru, P. Das, H. Ramos
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In the present work, we consider a parabolic convection‐diffusion‐reaction problem where the diffusion and convection terms are multiplied by two small parameters, respectively.
M. Chandru, P. Das, H. Ramos
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Alternating triangular schemes for convection–diffusion problems
Computational Mathematics and Mathematical Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vabishchevich, P. N., Zakharov, P. E.
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Mathematics and Computers in Simulation, 2019
We propose a uniformly convergent finite difference method to solve singularly perturbed time-dependent convection–diffusion problems in the framework of method of lines.
N. A. Mbroh, J. Munyakazi
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We propose a uniformly convergent finite difference method to solve singularly perturbed time-dependent convection–diffusion problems in the framework of method of lines.
N. A. Mbroh, J. Munyakazi
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Modified exponential schemes for convection–diffusion problems
Communications in Nonlinear Science and Numerical Simulation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, C. +3 more
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