Portal de Periódicos da CAPES

Walsh stretch matrices and functional differential equations

1982; Institute of Electrical and Electronics Engineers; Volume: 27; Issue: 1 Linguagem: Inglês

10.1109/tac.1982.1102858

2334-3303

G.P. Rao, K. R. PALANISAMY,

Iterative Methods for Nonlinear Equations

This correspondence presents a new operational matrix for "Stretch" via Walsh functions and discusses some interesting properties of this matrix and its role in the solution of certain functional differential equations. The solutions of differential equations are obtained in a series of Walsh functions. The results are piecewise constant with minimal mean-square error. The single term approximation combined with the technique of extension [8] reduces the computational effort to a minimum.