Iterative solutions to classical second-order ordinary differential equations

Robin, W.

Abstract

An elementary scheme is detailed for introducing certain basic concepts in the solution of (especially) the basic second-order ordinary differential equations of classical mathematical physics. The method proposed, an integration/iteration process, allows the development of (generally Frobenius) power series, as well as
exposing the rudiments of the Green function approach to solving linear ordinary differential equations. The method assumes only a background knowledge compatible with most introductory calculus courses.

Citation

Robin, W. (2019). Iterative solutions to classical second-order ordinary differential equations. Journal of Innovative Technology and Education, 6(1), 1-12

• Journal Article Type: Article
• Acceptance Date: Feb 1, 2019
• Publication Date: 2019
• Deposit Date: Feb 26, 2019
• Publicly Available Date: Feb 26, 2019
• Journal: Journal of Innovative Technology and Education
• Print ISSN: 2367-5608
• Publisher: Hikari
• Peer Reviewed: Peer Reviewed
• Volume: 6
• Issue: 1
• Pages: 1-12
• Keywords: Second-order ordinary linear differential equations, iterative solutions, Green functions, computer algebra systems,
• Public URL: http://researchrepository.napier.ac.uk/Output/1616429