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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 31, No. 2, pp. 309-330 (2015)
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Estimating the error of the numerical solution of linear differential equations with constant coefficients via Walsh polynomials

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György Gát and Rodolfo Toledo

College of Nyíregyháza

**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.

**Keywords:** Numerical solution of differential equations, Walsh polynomials.

**Classification (MSC2000):** 65L05; 42C10

**Full text of the article:**

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