Numerical solutions of diffusion mathematical models with delay

DOI10.1016/j.mcm.2009.05.015zbMath1185.65148OpenAlexW2060737463MaRDI QIDQ969971

B. E. Eshmatov

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.05.015

zbMATH Keywords

numerical difference schemepartial differential equation with delay

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)

Related Items (12)

A second-order box solver for nonlinear delayed convection-diffusion equations with Neumann boundary conditions ⋮ Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity ⋮ Convergence and stability analysis of the \({\theta}\)-method for delayed diffusion mathematical models ⋮ Linear \(\theta\)-method and compact \(\theta\)-method for generalised reaction-diffusion equation with delay ⋮ A note on the numerical solution of an identification problem for observing two-phase flow in capillaries ⋮ Convergence of two implicit numerical schemes for diffusion mathematical models with delay ⋮ The Method of Fractional Steps for the Numerical Solution of a Multidimensional Heat Conduction Equation with Delay for the Case of Variable Coefficient of Heat Conductivity ⋮ Compact \(\theta \)-method for the generalized delay diffusion equation ⋮ Unnamed Item ⋮ Difference schemes for time-dependent heat conduction models with delay ⋮ A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay ⋮ Delay-dependent elliptic reconstruction and optimal 𝐿^{∞}(𝐿²) a posteriori error estimates for fully discrete delay parabolic problems

Cites Work

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• On complete set of solutions for polynomial matrix equations
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• The stability and control of discrete processes
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• Analytic solution of mixed problems for the generalized diffusion equation with delay
• Theory and applications of partial functional differential equations
• Rectangular co-solutions of polynomial matrix equations and applications

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