Title :
Correct DDA Register Transfers for Trapezoidal Integration When Solving Nonlinear Equations of the Form ẏ= Ayn
Author_Institution :
Department of Computer Science, University of New South Wales
Abstract :
This correspondence shows that when solving differential equations of the form ẏ = Σanyn, DDA´s that perform trapezoidal integration for linear equations cannot be directly employed. Modified register transfers are developed for the representative example of ẏ = y2, and results are presented for both accurate numerical solutions and curve generation on a graphic display.
Keywords :
Digital arithmetic, digital differential analyzer, numerical integration.; Computer science; Differential equations; Digital arithmetic; Displays; Finite wordlength effects; Graphics; Maxwell equations; Nonlinear equations; Digital arithmetic, digital differential analyzer, numerical integration.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1977.1674764