Solution of Non-linear Sixth-order Two Point Boundary-value Problems Using Parametric Septic Splines
نویسندگان
چکیده
Abstract: In this paper a family of numerical methods is developed for solution of non-linear sixth-order two-point boundary-value problems using parametric septic spline. It is shown that the new methods give approximations, which are better than existing spline methods. End equations of the spline are derived and truncation error is given. Convergence analysis is discussed through standard procedures. Three numerical examples are given to illustrate the practical applicability and efficiency of our methods.
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تاریخ انتشار 2011