Successive approximations for the solution of second order advanced


Răzvan V. Gabor


Abstract

carpathian_2006_22_057_064_abstract

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carpathian_2006_22_057_064

For the initial value problem associated with second order advanced differential equation on Banach space, it is constructed a numerical method to approximate the solution. The method uses the sequence of Picard successive approximations and the trapezoidal quadrature rule (adapted for Lipschitzian functions with values in Banach spaces). For the initial value problem associated with second order advanced differential equation on Banach space, it is constructed a numerical method to approximate the solution. The method uses the sequence of Picard successive approximations and the trapezoidal quadrature rule (adapted for Lipschitzian functions with values in Banach spaces).

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Author(s)

Gabor Răzvan V.