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 79
- Downloads 0
Convergence Analysis and Implementation of Adomian Decomposition Method on Second-order Oscillatory Problems
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 s...
The Very Cost Effective Graph Folding of the Join of Two Graphs
In this paper we studied the very cost effective graph property for the join graph of two graphs. In general this is may or may not be a very cost effective graph. We obtained the conditions for the join graph of two gra...
Archbishop Porter Girls’ Senior High School Students’ Perception of Difficult Concepts in Senior High School Further Mathematics Curriculum in Ghana
Further Mathematics is frequently perceived as a subject set aside for some exceptional individuals. It often induces feelings of worry; nervousness and panic among students. This study employed the survey research desig...
Combination of Ramadan Group and Reduced Differential Transforms for Partial Differential Equations with Variable Coefficients
In this article, an analytical technique is provided to solve partial differential equations with variable coefficients. This technique is a combination of the integral transform known as Ramadan group integral transform...
Hypothesis Testing for Fractional Stochastic Partial Di erential Equations with Applications to Neurophysiology and Finance
The paper obtains explicit form of fine large deviation theorems for the log-likelihood ratio in testing fractional stochastic partial differential equation models using a finite number of Fourier coefficients of the sol...