A matrix method based on the Fibonacci polynomials to the generalized pantograph equations with functional arguments

DOI10.1155/2014/694580zbMath1303.65054arXiv1404.1102OpenAlexW2117530317WikidataQ59046126 ScholiaQ59046126MaRDI QIDQ471661

Aydın Kurnaz, Ayşe Betül Koç, Musa Çakmak

Publication date: 17 November 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1102

zbMATH Keywords

pseudospectral methodnumerical resultFibonacci operational matrixgeneralized pantograph equationstruncated Fibonacci series

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for functional-differential equations (65L03)

Related Items (3)

Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation ⋮ Unnamed Item ⋮ Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fibonacci collocation method

Cites Work

• A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
• Delay differential equations: with applications in population dynamics
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
• Variational iteration method for solving a generalized pantograph equation
• A new Fibonacci type collocation procedure for boundary value problems
• An exponential approximation for solutions of generalized pantograph-delay differential equations
• Properties of analytic solution and numerical solution of multi-pantograph equation
• Numeric solutions for the pantograph type delay differential equation using first Boubaker polynomials
• Approximate solution of multi-pantograph equation with variable coefficients
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• A Bessel collocation method for numerical solution of generalized pantograph equations
• Solution of high-order linear Fredholm integro-differential equations with piecewise intervals
• A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
• The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay

This page was built for publication: A matrix method based on the Fibonacci polynomials to the generalized pantograph equations with functional arguments