A Novel Generalized n-Dimensions Sixtic B-Spline Function to Solving n-Dimensions Mathematical Models

Khalid K. Ali, K. R. Raslan, Mohamed S. Mohamed and Dengfeng Lã¼

Journal of Mathematics, 2024, vol. 2024, 1-30

Abstract: In this study, we present a novel framework for the sixtic B-spline collocation approach in n-dimensions. Building upon previous research that focused on developing B-spline functions in n-dimensions to solve mathematical models, this work represents an extension of those efforts. We provide formulations of the sixtic B-spline collocation algorithm in one-dimensional, two-dimensional, and three-dimensional settings. These structures play a crucial role in solving mathematical models across diverse fields of study. To showcase the efficacy and accuracy of the proposed method, we employ a range of test problems in two and three dimensions. These examples serve as demonstrations of the effectiveness and precision of the suggested approach.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3886554

DOI: 10.1155/2024/3886554

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