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Implicit two-point block method for solving fourth order initial value problem directly with application


Allogmany, Reem Ayed and Ismail, Fudziah and Abdul Majid, Zanariah and Ibrahim, Zarina Bibi (2020) Implicit two-point block method for solving fourth order initial value problem directly with application. Mathematical Problems in Engineering, 2020. art. no. 6351279. pp. 1-16. ISSN 1024-123X; ESSN: 1563-5147


This paper proposes an implicit block method with two-point to directly solve the fourth-order Initial Value Problems (IVPs). The implicit block method is derived by adopting Hermite interpolating polynomial as the basis function, incorporating the first derivative of to enhance the solution’s accuracy. A block formulation is presented to acquire the numerical approximation at two points simultaneously. The introduced method’s basic properties, including order, zero stability, and convergence, are presented. Numerical experiments are carried out to verify the accuracy and efficiency of the proposed method compared with those of the several existing methods. Application in ship dynamics is also presented which yield impressive results for the proposed two-point block method.

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Official URL or Download Paper: https://www.hindawi.com/journals/mpe/2020/6351279/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2020/6351279
Publisher: Hindawi
Keywords: Polynomial; Numerical; Equations
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 03 Sep 2021 08:41
Last Modified: 03 Sep 2021 08:41
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2020/6351279
URI: http://psasir.upm.edu.my/id/eprint/89313
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