Generalized Hybrid One-Step Block Method Involving Fifth Derivative for Solving Fourth-Order Ordinary Differential Equation Directly
Joint Authors
Omar, Zurni
Alkasassbeh, Mohammad
Source
Journal of Applied Mathematics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-12
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A general one-step three-hybrid (off-step) points block method is proposed for solving fourth-order initial value problems of ordinary differential equations directly.
A power series approximate function is employed for deriving this method.
The approximate function is interpolated at xn,xn+r,xn+s,xn+t while its fourth and fifth derivatives are collocated at all points xi, i=0,r,s,t,1, in the interval of approximation.
Several fourth-order initial value problems of ordinary differential equations are then solved to compare the performance of the proposed method with the derived methods.
The analysis of the method reveals that the method is consistent and zero stable concluding that the method is also convergent.
The numerical results demonstrate the superiority of the new method over the existing ones in terms of error.
American Psychological Association (APA)
Alkasassbeh, Mohammad& Omar, Zurni. 2017. Generalized Hybrid One-Step Block Method Involving Fifth Derivative for Solving Fourth-Order Ordinary Differential Equation Directly. Journal of Applied Mathematics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1170019
Modern Language Association (MLA)
Alkasassbeh, Mohammad& Omar, Zurni. Generalized Hybrid One-Step Block Method Involving Fifth Derivative for Solving Fourth-Order Ordinary Differential Equation Directly. Journal of Applied Mathematics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1170019
American Medical Association (AMA)
Alkasassbeh, Mohammad& Omar, Zurni. Generalized Hybrid One-Step Block Method Involving Fifth Derivative for Solving Fourth-Order Ordinary Differential Equation Directly. Journal of Applied Mathematics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1170019
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170019