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A six-step block uni_cation integrator for numerical solution of fourth order boundary value problems
Joint Authors
Modebei, Mark I.
Adeniyi, Raphael B.
Source
General Letters in Mathematics
Issue
Vol. 5, Issue 2 (31 Oct. 2018), pp.71-83, 13 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2018-10-31
Country of Publication
Jordan
No. of Pages
13
Main Subjects
Abstract EN
In this paper, a new 7th order continuous nite di erence methods is proposed.
These methods are derived using the Chebyshev polynomials as basis functions.
The collocation approach is employed to obtain the main methods and additional methods used for solving general nonlinear fourth order two and four-points boundary value problems.
Several numerical examples are shown to illustrate the strength of the method.
To show the robustness of this method for high accuracy, we applied the method of line to discretize PDEs into system of fourth order ODEs and thus use the derived method to obtain approximate solution for the PDEs.
The approximate solution obtained using the proposed methods is compared to the exact solutions of the problem, and other methods from existing literature.
The Convergence of these methods is also guaranteed.
American Psychological Association (APA)
Modebei, Mark I.& Adeniyi, Raphael B.. 2018. A six-step block uni_cation integrator for numerical solution of fourth order boundary value problems. General Letters in Mathematics،Vol. 5, no. 2, pp.71-83.
https://search.emarefa.net/detail/BIM-937713
Modern Language Association (MLA)
Modebei, Mark I.& Adeniyi, Raphael B.. A six-step block uni_cation integrator for numerical solution of fourth order boundary value problems. General Letters in Mathematics Vol. 5, no. 2 (Oct. 2018), pp.71-83.
https://search.emarefa.net/detail/BIM-937713
American Medical Association (AMA)
Modebei, Mark I.& Adeniyi, Raphael B.. A six-step block uni_cation integrator for numerical solution of fourth order boundary value problems. General Letters in Mathematics. 2018. Vol. 5, no. 2, pp.71-83.
https://search.emarefa.net/detail/BIM-937713
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 82-83
Record ID
BIM-937713