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Research Article Open access CC BY 4.0

Semi-Analytical Method for the Computation of Nonlinear Second Order Differential Equations

J. Sunday, M. P. Agah, J. A. Kwanamu

Journal of Scientific Research and Reports · pp. 1–9 · Published 13 May 2017

10.9734/JSRR/2017/32932

Abstract

This research paper considers a semi-analytical method called the Adomian Decomposition Method (ADM) for the computation of nonlinear second order differential equations. The analysis of the method will also be carried out to show the convergence of its solution. The method has the advantage of providing the solution to problems in a rapidly convergent series with components that are easily computable. The method also has an advantage of being continuous with no resort to discretization as is the case with most conventional methods. Numerical and graphical results shall also be presented to buttress out points.

ADM analysis semi-analytical series nonlinear.

References (4)

  1. 1 Solving Frontier Problems of Physics: The Decomposition Method [DOI]
  2. 2 On the order of convergence of Adomian method [DOI]
  3. 3 Numerical comparison of methods for solving second-order ordinary initial value problems [DOI]
  4. 4 Convergence Analysis and Implementation of Adomian Decomposition Method on Second-order Oscillatory Problems [DOI]

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