Numerical solution of pantograph-type delay differential equations using perturbation-iteration algorithms
DOI10.1155/2015/139821zbMath1351.65045OpenAlexW2186163660WikidataQ59111544 ScholiaQ59111544MaRDI QIDQ327729
Mehmet Çevik, M. Mustafa Bahşı
Publication date: 19 October 2016
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/139821
convergencenumerical examplesperturbation methoddelay differential equationsiteration algorithmfunctional differential equationspantograph equation
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (7)
Uses Software
Cites Work
- Unnamed Item
- Optimal homotopy asymptotic method for solving delay differential equations
- A collocation method using Hermite polynomials for approximate solution of pantograph equations
- Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations
- A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
- Generation of root finding algorithms via perturbation theory and some formulas
- A root-finding algorithm with fifth order derivatives
- Perturbative derivation and comparisons of root-finding algorithms with fourth order derivatives
- Variational iteration method for solving a generalized pantograph equation
- New perturbation-iteration solutions for Bratu-type equations
- Generating the periodic solutions for forcing van der Pol oscillators by the iteration perturbation method
- Solution of delay differential equation by means of homotopy analysis method
- On the attainable order of collocation methods for pantograph integro-differential equations
- Properties of analytic solution and numerical solution of multi-pantograph equation
- Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
- Direct operatorial tau method for pantograph-type equations
- A continuous method for nonlocal functional differential equations with delayed or advanced arguments
- Convergence of variational iteration method for second-order delay differential equations
- New perturbation iteration solutions for Fredholm and Volterra integral equations
- A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
- A modified iteration perturbation method for some nonlinear oscillation problems
- Iteration method solutions for conservative and limit-cycle force oscillators
- HE'S ITERATION PERTURBATION METHOD TO NONLINEAR OSCILLATIONS OF MECHANICAL SYSTEMS WITH SINGLE-DEGREE-OF FREEDOM
- A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
- Walsh stretch matrices and functional differential equations
- Solution of a functional differential equation via delayed unit step functions
- Iteration Perturbation Method for Strongly Nonlinear Oscillations
- Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations
This page was built for publication: Numerical solution of pantograph-type delay differential equations using perturbation-iteration algorithms