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Recurrence relations for the midpoint method

DOI: 10.5556/j.tkjm.31.2000.33-42

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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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