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Iterative methods for a fourth order boundary value problem. (English) Zbl 0541.65055

Summary: We consider a fourth order nonlinear ordinary differential equation together with two-point boundary conditions and provide a-priori error estimates on the length of the interval (b-a) so that the Picard’s iterative method, the approximate Picard’s iterative method and the quasilinear iterative method converge to the solution of the problem.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
Full Text: DOI

References:

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