 An efficient fifth-order block method for solving third-order BVPsMufutau Ajani Rufai, Bruno Carpentieri and Higinio Ramos Mathematics and Computers in Simulation (MATCOM), 2024, vol. 223, issue C, 307-321 Abstract: This research paper introduces a new block method to solve third-order boundary-value problems (BVPs) directly. The method uses a suitable polynomial and three intermediate points to approximate the theoretical solution of third-order BVPs. An approximate solution is provided within the integration interval, and the basic properties of the proposed method, including convergence and stability, are theoretically analyzed. To assess the effectiveness of the proposed method, several real-life problems, such as boundary layer problems and physical model problems, are solved numerically. After comparison with some existing methods, the results of numerical experiments confirm the practical utility and effectiveness of the proposed method in real-world applications by demonstrating that it is superior and highly efficient in performance. Keywords: Third-order boundary value problems; Ordinary differential equations; Approximation; Hybrid block method; Convergence and stability analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:223:y:2024:i:c:p:307-321 DOI: 10.1016/j.matcom.2024.04.014 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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