Convergence Analysis and Implementation of Adomian Decomposition Method on Second-order Oscillatory Problems
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 2, Issue 5
Abstract
In this paper, a new convergence analysis of Adomian Decomposition Method (ADM) for second-order problems will be presented. The ADM will also be implemented on second-order oscillatory problems to generate approximate solutions. This research is motivated by the fact that a lot of attention has been devoted recently to the use of ADM to solve differential equations. This may not be unconnected with the fact that the method provides the solution to problems in a rapidly convergent series with components that are elegantly computable. The method also has an advantage of being continuous with no resort to discretization as is the case with most conventional methods.
Authors and Affiliations
J. Sunday
Keywords
Related Articles
- EP ID EP338410
- DOI 10.9734/ARJOM/2017/32011
- Views 85
- Downloads 0
Cusp Forms Whose Fourier Coefficients Involve Dirichlet Series
We present some cusp forms on the full modular group , using the properties of eigenfunctions, nonanalytic Poincare series and Hecke operators T_n. Further, the Fourier coefficients of cusp forms on are given in ter...
Initial Coefficients Estimates for Certain Generalized Class of Analytic Functions Involving Sigmoid Function
For function of Bazilevic type, initial coefficients , and for certain generalized class of analytic functions involving logistic sigmoid function are obtained. Further, the Fekete-Szego functional is also conside...
Nonseasonal ARIMA Modeling and Forecasting of Malaria Cases in Children under Five in Edum Banso Sub-district of Ghana
Approximately sixty-nine percent of deaths globally resulting from malaria infection occur in children under five years of age [1]. National control and prevention strategies will be greatly enhanced through better abili...
Simulation of Project Completion Time with Burr XII Activity Distribution
Project Evaluation and Review Technique (PERT) in conjunction with Monte Carlo simulation is no doubt a useful and an acceptable tool for the analysis of project networks. However, a common challenge in practice is the...
On Caristi-Type Fixed Point Theorem in Cone Metric Space and Application
The aim of this paper is to generalize Caristi's fixed point theorem. For that we extend the Szaz maximum principle in normed space and, we introduce a new class of functions which generalize the notion of dominated func...