New approach to the numerical solution of forward-backward equations

DOI10.1007/s11464-009-0006-8zbMath1396.65103OpenAlexW2043591118MaRDI QIDQ1022531

Patricia M. Lumb, M. Filomena Teodoro, Pedro M. Lima, Neville J. Ford

Publication date: 22 June 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0006-8

zbMATH Keywords

collocation methodtheta-methodmethod of stepsmixed-type functional differential equations

Mathematics Subject Classification ID

Numerical methods for functional-differential equations (65L03)

Related Items (11)

A continuous kernel functions method for mixed-type functional differential equations ⋮ An Issue About the Existence of Solutions for a Linear Non-autonomous MTFDE ⋮ On the stability and behavior of solutions in mixed differential equations with delays and advances ⋮ Segmented tau approximation for a forward-backward functional differential equation ⋮ Finite element solution of a linear mixed-type functional differential equation ⋮ Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation ⋮ The numerical solution of forward-backward differential equations: decomposition and related issues ⋮ Analytical and numerical investigation of mixed-type functional differential equations ⋮ An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations ⋮ Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials ⋮ Rigorous verification of Hopf bifurcations in functional differential equations of mixed type

Cites Work

• Mixed-type functional differential equations: A numerical approach
• Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory
• The Fredholm alternative for functional-differential equations of mixed type
• Functional differential equations of mixed type: The linear autonomous case
• Hopf bifurcation for functional differential equations of mixed type
• MIXED-TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS, HOLOMORPHIC FACTORIZATION, AND APPLICATIONS
• Computation of Mixed Type Functional Differential Boundary Value Problems
• Unnamed Item
• Unnamed Item

This page was built for publication: New approach to the numerical solution of forward-backward equations