A class of inverse Runge-Kutta schemes for the numerical integration of singular problems

DOI10.1016/j.amc.2003.08.150zbMath1061.65065OpenAlexW2081736566MaRDI QIDQ1888278

S. O. Adee, M. R. Odekunle, N. D. Oye, R. A. Ademiluyi

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.150

zbMATH Keywords

numerical examplesinitial value problemssingular pointTaylor seriesRunge-Kutta schemesRational function

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)

Related Items (4)

A non-standard explicit integration scheme for initial-value problems ⋮ Hybrid numerical methods for exponential models of growth ⋮ A nonlinear second derivative method with a variable step-size based on continued fractions for singular initial value problems ⋮ A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems

Cites Work

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• Solving Ordinary Differential Equations with Discontinuities
• A Modification of the Runge-Kutta Fourth-Order Method
• Accurate Numerical Determination of the Intersection Point of the Solution of a Differential Equation with a Given Algebraic Relation
• Runge-Kutta Methods with Constrained Minimum Error Bounds
• Step Size Adjustment at Discontinuities for Fourth Order Runge-Kutta Methods
• A special stability problem for linear multistep methods

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