P. A. Hurney
ABSTRACT
One of the difficulties in the use of an analogue computer for the solution of ordinary differential equations involving variable coefficients is its relative inability to perform certain multiplications rapidly and accurately. In instances where variables must be multiplied by a function of another variable, this difficulty is particularly apparent. This paper describes how a digitally stored table of functions may be used with an analogue computer to solve this general class of ordinary differential equations.
Recommendations
Numerical solution of distributed order fractional differential equations
In this paper a method for the numerical solution of distributed order FDEs (fractional differential equations) of a general form is presented. The method applies to both linear and nonlinear equations. The Caputo type fractional derivative is employed. ...
Hybrid analog-digital solution of nonlinear partial differential equations
MICRO-50 '17: Proceedings of the 50th Annual IEEE/ACM International Symposium on MicroarchitectureWe tackle the important problem class of solving nonlinear partial differential equations. While nonlinear PDEs are typically solved in high-performance supercomputers, they are increasingly used in graphics and embedded systems, where efficiency is ...
Sylvester Equations and the numerical solution of partial fractional differential equations
We develop a new matrix-based approach to the numerical solution of partial differential equations (PDE) and apply it to the numerical solution of partial fractional differential equations (PFDE). The proposed method is to discretize a given PFDE as a ...
Comments