A differential transformation approach for solving functional differential equations with multiple delays

DOI10.1016/j.cnsns.2016.12.027OpenAlexW2528597391MaRDI QIDQ2005448

Josef Rebenda, Zdeněk Šmarda

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01528

zbMATH Keywords

differential transformation methodneutral differential equationdelayed differential equationmethod of steps

Mathematics Subject Classification ID

Related Items (5)

Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays ⋮ Numerical solution of fractional multi-delay differential equations ⋮ Differential transform algorithm for functional differential equations with time-dependent delays ⋮ Numerical algorithm for nonlinear delayed differential systems of \(n\)th order ⋮ Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical oscillation of neutral logistic delay differential equation
• Solving delay differential systems with history functions by the Adomian decomposition method
• Solution of a nonlinear time-delay model in biology via semi-analytical approaches
• A discrete equivalent of the logistic equation
• \((n + 1)\)-dimensional reduced differential transform method for solving partial differential equations
• A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
• An analytical solution for a nonlinear time-delay model in biology
• Solution of differential-difference equations by using differential transform method
• Solution of delay differential equations via a homotopy perturbation method
• Hopf bifurcation for neutral functional differential equations
• The variational iteration method for solving a neutral functional-differential equation with proportional delays
• Solution of delay differential equation by means of homotopy analysis method
• Introduction to functional differential equations
• A novel semi-analytical approach for solving nonlinear Volterra integro-differential equations
• On the Logistic Equation in the Complex Plane
• Solutions of delay differential equations by using differential transform method
• The Adomian decomposition method for solving delay differential equation
• Numerical Methods for Delay Differential Equations
• Numerical solution of delay integro‐differential equations by using Taylor collocation method

This page was built for publication: A differential transformation approach for solving functional differential equations with multiple delays