An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE

• Published in: Numerical algorithms Vol. 96; no. 3; pp. 1109 - 1141
• Main Author: Corless, Robert M
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.07.2024
• Subjects: Algorithms; Differential equations; Linear equations; Mathematicians; Methods; Ordinary differential equations; Polynomials; Taylor series

The numerical solution of initial-value problems (IVP) for ordinary differential equations (ODE) is at this time a mature subject, with many high-quality codes freely available. Second-order linear equations without singularities are an especially simple class of problems to solve, even more so if o...