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A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay
We design and analyse a domain decomposition method for solving singularly perturbed
parabolic reaction‐diffusion problems with time delay. Using the asymptotic behavior of the …
parabolic reaction‐diffusion problems with time delay. Using the asymptotic behavior of the …
New approach of convergent numerical method for singularly perturbed delay parabolic convection-diffusion problems
ZI Hassen, GF Duressa - Research in Mathematics, 2023 - Taylor & Francis
In this paper, a parameter-uniform convergent numerical scheme is provided for solving
singularly perturbed parabolic convection-diffusion differential equations with a large delay …
singularly perturbed parabolic convection-diffusion differential equations with a large delay …
Parameter uniform hybrid numerical method for time-dependent singularly perturbed parabolic differential equations with large delay
ZI Hassen, GF Duressa - Applied Mathematics in Science and …, 2024 - Taylor & Francis
In this study, to solve the singularly perturbed delay convection–diffusion–reaction problem,
we proposed a hybrid numerical scheme that converges uniformly. Parabolic right boundary …
we proposed a hybrid numerical scheme that converges uniformly. Parabolic right boundary …
High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations
In this manuscript, we develop and analyze two high‐order schemes, CFD g− σ _ g-σ and
PQS g− σ _ g-σ, for generalized variable coefficients fractional reaction–diffusion equations …
PQS g− σ _ g-σ, for generalized variable coefficients fractional reaction–diffusion equations …
[HTML][HTML] A robust overlap** Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction–diffusion problems
S Kumar, SCS Rao - Journal of computational and applied mathematics, 2014 - Elsevier
In this work, we consider a singularly perturbed parabolic problem of reaction–diffusion type.
To solve this problem numerically we develop an overlap** Schwarz domain …
To solve this problem numerically we develop an overlap** Schwarz domain …
A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems
JB Munyakazi, KC Patidar - Computational and applied mathematics, 2013 - Springer
This paper treats a time-dependent singularly perturbed reaction-diffusion problem. We
semidiscretize the problem in time by means of the classical backward Euler method. We …
semidiscretize the problem in time by means of the classical backward Euler method. We …
Fitted computational method for singularly perturbed convection-diffusion equation with time delay
A uniformly convergent numerical scheme is proposed to solve a singularly perturbed
convection-diffusion problem with a large time delay. The diffusion term of the problem is …
convection-diffusion problem with a large time delay. The diffusion term of the problem is …
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
We construct and analyze a domain decomposition method to solve a class of singularly
perturbed parabolic problems of reaction-diffusion type having Robin boundary conditions …
perturbed parabolic problems of reaction-diffusion type having Robin boundary conditions …
Spline-based parameter-uniform scheme for fourth-order singularly perturbed differential equations
S Singh, D Kumar - Journal of Mathematical Chemistry, 2022 - Springer
This paper considers a numerical study for the fourth-order singularly perturbed boundary
value problems. The associated differential equation is converted into a weakly coupled …
value problems. The associated differential equation is converted into a weakly coupled …
Higher order numerical approximations for non-linear time-fractional reaction–diffusion equations exhibiting weak initial singularity
In the present study, we introduce a high-order non-polynomial spline method designed for
non-linear time-fractional reaction–diffusion equations with an initial singularity. The method …
non-linear time-fractional reaction–diffusion equations with an initial singularity. The method …