We develop a numerical method for solving the boundary value problem of The Linear Seventh Ordinary Boundary Value Problem by using seventh degree B-Spline function. Formulation is based on particular terms of order of seventh order boundary value problem. We obtain Septic B-Spline formulation and the Collocation B-spline Method is formulated as an approximation solution. We apply the presented method to solve an example of seventh-order boundary value problem which the results show that there is an agreement between approximate solutions and exact solutions. Resulting low absolute errors show that the presented numerical method is effective for solving high order boundary value problems. Finally, a general conclusion has been included.
翻译：我们通过使用第七度B-Spline函数,开发了解决第七度边界线第七点普通边界值问题的边界值问题的数字方法。根据第七点边界值问题的具体顺序条件制定方法。我们获得了初步B-Spline配方,而合用B-Spline方法作为一种近似解决办法。我们采用了所提出的方法来解决第七点边界值问题的一个实例,其结果显示,在近似解决办法和精确解决办法之间达成了一致。由此得出的低绝对误差表明,所提出的数字方法对于解决高分边界值问题是有效的。最后,还包含了一个一般性结论。
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