A comparative study on the stability of Laplace-Adomian algorithm and numerical methods in generalized pantograph equations
type: Item
instance of: scholarly article
title: A comparative study on the stability of Laplace-Adomian algorithm and numerical methods in generalized pantograph equations
zbMATH Open document ID: 1257.65034
DOI: 10.5402/2012/704184
author: Sabir Widatalla
published in: ISRN Computational Mathematics
publication date: 2012-12-10T00:00:00Z
review text: Summary: The main objective of this paper is to examine the stability and convergence of the Laplace-Adomian algorithm to approximate solutions of the pantograph-type differential equations with multiple delays. This is done by comparatively investigating it with other methods.
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 6114699
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: Laplace-Adomian algorithm
zbMATH Keywords: pantograph-type differential equations
zbMATH Keywords: multiple delays
Wikidata QID: Q58691681
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/704184
OpenAlex ID: W2050297638
cites work: Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
cites work: Delay differential equations: with applications in population dynamics
cites work: On a model of a currency exchange rate -- local stability and periodic solutions
cites work: A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
cites work: Mathematical modelling of the intravenous glucose tolerance test
cites work: On a model for soft landing with state-dependent delay
cites work: On pantograph integro-differential equations
cites work: A taylor collocation method for solving high-order linear pantograph equations with linear functional argument
cites work: Bernstein series solutions of pantograph equations using polynomial interpolation
cites work: On the application of spline functions to initial value problems with retarded argument
cites work: Properties of analytic solution and numerical solution of multi-pantograph equation
cites work: The Adomian decomposition method for solving delay differential equation
cites work: A Laplace decomposition algorithm applied to a class of nonlinear differential equations
cites work: A new approach to Bratu's problem
cites work: The Laplace Adomian decomposition method for solving a model for HIV infection of \(CD4^{+}T\) cells
cites work: The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
cites work: Numerical solution of Duffing equation by the Laplace decomposition algorithm
cites work: Solving frontier problems of physics: the decomposition method
cites work: A review of the decomposition method in applied mathematics
cites work: On the attainable order of collocation methods for pantograph integro-differential equations
description: scientific article; zbMATH DE number 6114699