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Full-Text Articles in Physics
Apl And The Numerical Solution Of High-Order Linear Differential Equations, N. A. Gershenfeld, Edward H. Schadler , '81, Oleksa-Myron Bilaniuk
Apl And The Numerical Solution Of High-Order Linear Differential Equations, N. A. Gershenfeld, Edward H. Schadler , '81, Oleksa-Myron Bilaniuk
Physics & Astronomy Faculty Works
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.