Document Type
Article
Publication Date
8-1983
Published In
American Journal Of Physics
Abstract
An Nth‐order linear ordinary differential equation is rewritten as a first‐order equation in an N×N matrix. Taking advantage of the matrix manipulation strength of the APL language this equation is then solved directly, yielding a great simplification over the standard procedure of solving N coupled first‐order scalar equations. This eases programming and results in a more intuitive algorithm. Example applications of a program using the technique are given from quantum mechanics and control theory.
Recommended Citation
N. A. Gershenfeld; Edward H. Schadler , '81; and Oleksa-Myron Bilaniuk.
(1983).
"APL And The Numerical Solution Of High-Order Linear Differential Equations".
American Journal Of Physics.
Volume 51,
Issue 8.
743-746.
DOI: 10.1119/1.13158
https://works.swarthmore.edu/fac-physics/351
Comments
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