Piecewise finite series solution of nonlinear initial value differential problem

DOI10.1016/j.amc.2009.02.014zbMath1166.65350OpenAlexW1981602534WikidataQ57572576 ScholiaQ57572576MaRDI QIDQ1026284

Abraham J. Arenas, Gilberto González-Parra, Lucas Jodar, Rafael-Jacinto Villanueva

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.02.014

zbMATH Keywords

convergencenumerical resultspower seriesAdomian decomposition methodRiccati equationLotka-Volterra systemRunge-Kutta type methodsstep sizepiecewise finite seriestruncation order

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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