Recurrence relations for the midpoint method
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Abstract
In this paper, we present a new convergence analysis and error estimates for the Midpoint method in Banach spaces by using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations. Finally, we give three examples where we improve the error bounds are better given by other authors.
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Ezquerro, J. A. ., Hernandez, M. A. ., & Salanova, M. A. (2000). Recurrence relations for the midpoint method. Tamkang Journal of Mathematics, 31(1), 33–42. https://doi.org/10.5556/j.tkjm.31.2000.412
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