Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems

DOI10.1007/s40314-021-01457-yzbMath1476.65227OpenAlexW3136523314MaRDI QIDQ1983934

Sunil Kumar, Aakansha, Joginder Singh

Publication date: 10 September 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01457-y

zbMATH Keywords

reaction-diffusion systemsdomain decomposition methodparabolic problemssplitting schemesSchwarz waveform relaxation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

Efficient High-Order Discretization Methods for Coupled Systems of Singularly Perturbed Parabolic Convection-Diffusion Problems, An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems, A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations, Parameter uniform numerical method for a system of singularly perturbed parabolic convection-diffusion equations, An efficient hybrid numerical method based on an additive scheme for solving coupled systems of singularly perturbed linear parabolic problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems
• A robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction-diffusion problems
• An image denoising approach based on a meshfree method and the domain decomposition technique
• A parallel boundary value technique for singularly perturbed two-point boundary value problems
• A uniformly convergent nonstandard finite difference scheme for a system of convection-diffusion equations
• Domain decomposition in boundary layers for singularly perturbed problems
• Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations
• Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm
• A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems
• A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs
• A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem
• A uniformly convergent scheme for a system of reaction-diffusion equations
• Overlapping Schwarz waveform relaxation method for the solution of the forward-backward heat equation
• A new fitted operator finite difference method to solve systems of evolutionary reaction-diffusion equations
• Additive schemes for certain operator-differential equations
• Domain decomposition for a parabolic convection-diffusion problem
• The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
• A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems
• A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay
• Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system
• A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems