Geodesic
Boundary value problems for the mildly non-linear ordinary differential equation of the fourth order
Applications of Mathematics, Tome 19 (1974) no. 4, pp. 216-231.

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In this paper, the finite difference method is applied to a boundary value problem for the mildly non-linear ordinary differential equation of the fourth order. The existence of a unique solution of both the differential and the difference problem is proved and an $O(h^2)$ estimate of the discretization error and its first difference quotient is derived. Some numerical examples are given.
DOI : 10.21136/AM.1974.103536
Classification : 34B15, 65J99, 65L10 
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     title = {Boundary value problems for the mildly non-linear ordinary differential equation of the fourth order},
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Růžičková, Helena. Boundary value problems for the mildly non-linear ordinary differential equation of the fourth order. Applications of Mathematics, Tome 19 (1974) no. 4, pp. 216-231. doi : 10.21136/AM.1974.103536. http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103536/

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