PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 54(68), pp. 144--155 (1993)
An analysis and improvement of the El Mistikawy and Werle scheme
Katarina Surla and Zorica UzelacInstitut za matematiku, Novi sad, Yugoslavia
Abstract: The El Mistikawy and Werle scheme (the EMW scheme) is derived as a member of the family of exponential spline difference schemes. Another member of the family (the IEMW scheme), giving a better accuracy then the EMW scheme is analysed. The truncation error of the IEMW scheme for the polynomials of up to the second degree approaches zero as $\varepsilon$ approaches zero, which is not the case with the EMW scheme. Some numerical results are also presented.
Classification (MSC2000): 65L10
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