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.

中文翻译：

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使用B样条法求解七阶边值问题的数值解

我们开发了一种通过使用七次 B 样条函数来求解线性七阶常边界值问题的边界值问题的数值方法。公式是基于七阶边值问题的特定阶项。我们获得了 Septic B-Spline 公式，并将搭配 B-spline 方法公式化为近似解。我们应用所提出的方法来解决一个七阶边值问题的例子，结果表明近似解和精确解之间存在一致性。产生的低绝对误差表明所提出的数值方法对于求解高阶边值问题是有效的。最后，包含了一个一般性结论。