DELSOL -- a numerical code for the solution of systems of delay- differential equations

DOI10.1016/0168-9274(92)90017-8zbMath0747.65055OpenAlexW2068753478MaRDI QIDQ1189139

David R. Willé, Christopher T. H. Baker

Publication date: 26 September 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90017-8

zbMATH Keywords

numerical resultsinitial value problemsgeneral purpose code DELSOLsystems of delay-differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

Numerical treatment of the parameter identification problem for delay- differential systems arising in immune response modelling, Stepsize control and continuity consistency for state-dependent delay- differential equations, Accuracy of the Laplace transform method for linear neutral delay differential equations, An efficient unified approach for the numerical solution of delay differential equations, A mixed finite element for the Stokes problem using quadrilateral elements, Issues in the numerical solution of evolutionary delay differential equations, Dynamics of toxoplasmosis in the cat's population with an exposed stage and a time delay, On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation, Differential-difference equations in economics, The tracking of derivative discontinuities in systems of delay- differential equations, Sharpness results for state dependent delay differential equations: An overview, On algorithms for estimating computable error bounds for approximate periodic solutions of an autonomous delay differential equation, DELSOL, Solution of delay differential equation by means of homotopy analysis method, A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations, A new numerical method for solving fractional delay differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-step collocation for delay differential equations
• Stability properties of numerical methods for solving delay differential equations
• Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method
• Starting BDF and Adams codes at optimal order
• The tracking of derivative discontinuities in systems of delay- differential equations
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Issues in the numerical solution of evolutionary delay differential equations
• The Effect of Changing the Stepsize in Linear Multistep Codes
• Automatic Integration of Functional Differential Equations: An Approach
• Topological Problems Arising When Solving Boundary Value Problems for Elliptic Partial Differential Equations by the Method of Finite Differences