Numerical dynamics of a nonstandard finite difference method for a class of delay differential equations

DOI10.1016/j.jmaa.2012.11.033zbMath1266.65116OpenAlexW2077907080MaRDI QIDQ1936202

Huan Su, Wenxue Li, Xiao-Hua Ding

Publication date: 21 February 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.11.033

zbMATH Keywords

algorithmperiodic solutionsnumerical exampleslocal stabilityHopf bifurcationdelay differential equationsinvariant curvesred blood cellsEuler implicit methodNeimark-Sacker bifurcationnonstandard finite difference methods

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Periodic solutions to functional-differential equations (34K13) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Bifurcation theory of functional-differential equations (34K18) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical methods for functional-differential equations (65L03)

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Numerical bifurcation of a delayed diffusive food‐limited model with Dirichlet boundary condition ⋮ Exact numerical solutions and high order nonstandard difference schemes for a second order delay differential equation ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ A computational approximation for the solution of retarded functional differential equations and their applications to science and engineering

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