Numerical Solution of Second Order Differential Equations©
Theresa Julia Zielinski
Department of Chemistry, Medical Technology, and Physics
Monmouth University
West Long Branch, NJ 07764-1898
United States
mail to: tzielins@monmouth.edu


Danny G. Miles, Jr.
Mount St. Mary's University
Department of Science
Emmitsburg, MD 21727
United States
mail to: miles@msmary.edu



Abstract
In this document students can explore using numerical methods for solving second order differential equations. After a background discussion the document leads students to the solution of the equation of motion for the classical harmonic oscillator. Each step of the numerical algorithm is carefully explained. Questions embedded in the document help students to focus on the method and the links between the method, the solutions, and the physical model for the oscillator. Students are expected to apply the method to the quantum mechanical oscillator and explore the properties of the resulting solutions.Students are also requested to compare and contrast the solutions obtained by the numerical method to those obtained by the analytical method. References are included inthe document.
Keywords
Audiences: Upper-Division Undergraduate
Pedagogies: Computer-Based Learning
Domains: Physical Chemistry
Topics: Chemometrics, Mathematics / Symbolic Mathematics, Quantum Chemistry
Documents
File NameDescriptionSoftware TypeSoftware Version
numer1.mcd Instructional and Computational Mathcad Document
numer1.pdf Read-Only Document
Comments to: Theresa Julia Zielinski tzielins@monmouth.edu or Danny G. Miles, Jr. miles@msmary.edu
©Copyright Theresa Julia Zielinski and Danny G. Miles, Jr., 1997. All rights reserved. You are welcome to use this document in your own classes but commercial use is not allowed without the permission of the authors.