In this paper, we present new constructions of the n‐dimensional quadratic B‐splines method. The quadratic B‐splines method format is displayed in a single, two, and three‐dimensional format. These constructions are of utmost importance in solving differential equations in their various dimensions, which have applications in many fields of science. Some numerical examples are also presented, through which we can show the accuracy of this construction by giving some comparisons of our results using this new construction and between the results in other works. Some figures also give in this paper for the solutions.

中文翻译：

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在n维二次B样条曲线上

在本文中，我们介绍了n维二次B样条方法的新构造。二次B样条曲线方法格式以一维，二维和三维格式显示。这些结构对于求解各种维度的微分方程至关重要，这些微分方程在许多科学领域都有应用。还提供了一些数值示例，通过使用这些新结构以及其他作品的结果之间的比较，我们可以证明该结构的准确性。一些数字在本文中也给出了解决方案。