Analytic approximation to delayed convection dominated systems through transforms

DOI10.1007/s10910-014-0394-1zbMath1331.65092OpenAlexW2066980211MaRDI QIDQ488045

Aditya Kaushik, Chenglin Li, Manju Sharma

Publication date: 23 January 2015

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-014-0394-1

zbMATH Keywords

asymptotic solutiondelay differential equationlayer behaviorLiouville Green transform

Mathematics Subject Classification ID

Boundary value problems for functional-differential equations (34K10) Singular perturbations of functional-differential equations (34K26) Numerical methods for functional-differential equations (65L03)

Related Items (1)

Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative analytic approximation to nonlinear convection dominated systems
• An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems
• Numerical treatment of a mathematical model arising from a model of neuronal variability
• A parameter uniform difference scheme for parabolic partial differential equation with a retarded argument
• Analysis of the factorization method for elliptic differential equations
• Fitted fourth-order tridiagonal finite difference method for singular perturbation problems
• Singular perturbation analysis of bistable differential equation arising in the nerve pulse propagation
• Perturbation methods in applied mathematics
• Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems
• A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems
• An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
• Numerical analysis of singularly perturbed delay differential equations with layer behavior
• Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations
• An exponentially fitted special second-order finite difference method for solving singular perturbation problems
• On a class of singular perturbation problem
• The reliability of local error estimators for convection-diffusion equations
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• Numerical analysis of boundary-value problems for singularly perturbed differential-difference equations: small shifts of mixed type with rapid oscillations
• A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
• Nonstandard perturbation approximation and travelling wave solutions of nonlinear reaction diffusion equations
• Magnetohydrodynamic pipe flow. Part 1
• A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations

This page was built for publication: Analytic approximation to delayed convection dominated systems through transforms