CTDFContract Technical Data File
CTDFCuracao Tourism Development Foundation (est. 1989)
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We have proposed a continuous third derivative formula CTDF which is used to produce main and additional methods.These methods are combined as a single block called Block Third Derivative Formulas (BTDFs) that are implemented as a boundary value methods to solve second order boundary value problems directly without first adapting the second order ordinary differential equation into an equivalent first order system.
where y, f [member of] [[Real part].sup.m], and the given boundary conditions are not a restriction on CTDFs. It has been shown in Keller [10] that the general conditions which ensure that the solution of (1) subject to boundary conditions exist and is unique.
In section two, we derive an approximation U (x) for y (x) which is used to obtain the main and additional methods from the CTDFs. The convergence analysis of the methods are given in Section 2.
Therefore, the CTDFs generate eighth-order and a Tenth-order convergent methods respectively.