Commenced in January 2007
Paper Count: 31743
A Spectral Decomposition Method for Ordinary Differential Equation Systems with Constant or Linear Right Hand Sides
Abstract:In this paper, a spectral decomposition method is developed for the direct integration of stiff and nonstiff homogeneous linear (ODE) systems with linear, constant, or zero right hand sides (RHSs). The method does not require iteration but obtains solutions at any random points of t, by direct evaluation, in the interval of integration. All the numerical solutions obtained for the class of systems coincide with the exact theoretical solutions. In particular, solutions of homogeneous linear systems, i.e. with zero RHS, conform to the exact analytical solutions of the systems in terms of t.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1126854Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 952
 Jibunoh C C Accurate and Automatic Integration of Stiff and Non Stiff (ODE) Systems Via Spectral Decomposition Journal of the Nigerian Mathematical Society Vol 29, pp 21 – 39, (2010)
 Jibunoh C C An Exponential Method for Accurate and Automatic Integration of Nonlinear (Stiff and Nonstiff) ODE Systems Journal of the Nigerian Mathematical Society 34: 143 – 159, (2015). Available online at www.sciencedirect.com
 Burden, L.B and Faires J.D Numerical Analysis (Fifth Edition). PWS Publishing Company Boston, MA, USA, (1993).
 Fatunla, S.0 Numerical Methods for Initial Value Problems in Ordinary Differential Equations; Academic Press Inc (1988)
 Krasnov, M.L, Kiselyov A.I and Makarenko, G.I. A Book of Problems in Ordinary Differential Equations Mir Publishers, Moscow (1989).