Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Nonlinear boundary value problems (BVPs) are more tedious to solve than their linear counterparts.
This is observed in the extra computation required when determining the missing conditions in transforming BVPs to initial value problems.
Although a number of numerical approaches are already existent in literature to solve nonlinear BVPs, this article presents a new block method with improved accuracy to solve nonlinear BVPs.
A m+1th-step block method is developed using a modified Taylor series approach to directly solve fourth-order nonlinear boundary value problems (BVPs) where m is the order of the differential equation under consideration.
The schemes obtained were combined to simultaneously produce solution to the fourth-order nonlinear BVPs at m+1 points iteratively.
The derived block method showed improved accuracy in comparison to previously existing authors when solving the same problems.
In addition, the suitability of the m+1th-step block method was displayed in the solution for magnetohydrodynamic squeezing flow in porous medium.
American Psychological Association (APA)
Adeyeye, Oluwaseun& Omar, Zurni. 2017. Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1165855
Modern Language Association (MLA)
Adeyeye, Oluwaseun& Omar, Zurni. Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method. International Journal of Differential Equations No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1165855
American Medical Association (AMA)
Adeyeye, Oluwaseun& Omar, Zurni. Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1165855
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165855