A posteriori improvement of cubic spline approximate solution of two-point boundary value problem
نویسندگان
چکیده
منابع مشابه
A Posteriori Improvement of Cubic Spline Approximate Solution of Two-Point Boundary Value Problem
We consider the numerical solution of two-point boundary value problem by collocation method using cubic spline. We derive asymptotic expansions of the errors which are a posteriori determined with little additional computation. The applications of these asymtotic expansions to a posteriori improvement of the approximate solution and adaptive mesh selection strategy (chopping procedure) are dis...
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Third and fourth order convergent methods based on cubic nonpolynomial spline function at midknotes are presented for the numerical solution of a second order two-point boundary value problem with Neumann conditions. Using this spline function a few consistency relations are derived for computing approximations to the solution of the problem. Convergence analysis of these methods is discussed t...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1984
ISSN: 0034-5318
DOI: 10.2977/prims/1195181834