Convergence of two implicit numerical schemes for diffusion mathematical models with delay

DOI10.1016/j.mcm.2010.02.016zbMath1205.65232OpenAlexW2055856733MaRDI QIDQ623033

Sumit K. Garg

Publication date: 13 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.02.016

zbMATH Keywords

stabilityconvergenceconsistencenumerical 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 (10)

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 FRACTIONAL ANALOG OF CRANK–NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY ⋮ Compact \(\theta \)-method for the generalized delay diffusion equation ⋮ Unnamed Item ⋮ Asymptotic stability of compact and linear \(\theta \)-methods for space fractional delay generalized diffusion equation ⋮ 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 ⋮ Dissipativity ofθ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays

Cites Work

• On complete set of solutions for polynomial matrix equations
• Numerical solutions of diffusion mathematical models with delay
• Analytic-numerical solutions of diffusion mathematical models with delays
• 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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