Derivation of septic B-spline function in n-dimensional to solve n-dimensional partial differential equations

IF 2.4 Q2 ENGINEERING, MECHANICAL
K. Raslan, K. Ali, M. S. Mohamed
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引用次数: 0

Abstract

Abstract In this study, a new structure for the septic B-spline collocation algorithm in n-dimensional is presented as a continuation of generating B-spline functions in n-dimensional to solve mathematical models in n-dimensional. The septic B-spline collocation algorithm is displayed in three forms: one dimensional, two dimensional, and three dimensional. In various domains, these constructs are essential for solving mathematical models. The effectiveness and correctness of the suggested method are demonstrated using a few two- and three-dimensional test problems. The proposed new structure provides better results than other methods because it deals with a larger number of points than the field. To create comparisons, we use different numerical approaches accessible in the literature.
用n维b样条函数求导求解n维偏微分方程
本文提出了一种新的n维b样条配置算法结构,作为在n维上生成b样条函数来求解n维数学模型的延续。败血症b样条搭配算法以一维、二维和三维三种形式显示。在许多领域,这些构造对于求解数学模型是必不可少的。通过几个二维和三维试验问题,验证了所提方法的有效性和正确性。所提出的新结构比其他方法提供了更好的结果,因为它处理比字段更多的点。为了进行比较,我们在文献中使用了不同的数值方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
6.20
自引率
3.60%
发文量
49
审稿时长
44 weeks
期刊介绍: The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.
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