Semi-Analytical Method for the Computation of Nonlinear Second Order Differential Equations
J. Sunday *
Department of Mathematics, Adamawa State University, Mubi, Nigeria.
M. P. Agah
Department of Science Education, Adamawa State University, Mubi, Nigeria.
J. A. Kwanamu
Department of Mathematics, Adamawa State University, Mubi, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: ADM, analysis, semi-analytical, series, nonlinear.