Estimating the error of the numerical solution of linear differential equations with constant coefficients via Walsh polynomials

Gát, György and Toledo, Rodolfo Calixto (2015) Estimating the error of the numerical solution of linear differential equations with constant coefficients via Walsh polynomials. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 309-330. ISSN 0866-0174

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Abstract

Our aim is to deal with the numerical solution of differential equations by Walsh polynomials approach. In this paper we simplify the procedure of C.F. Chen and C.H. Hsiao for one linear differential equation with constant coefficients in order to do a thorough analysis of errors. In this regard we introduce a faster method to obtain the values of the numerical solution.

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