Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems
Joint Authors
Ejaz, Syeda Tehmina
Mustafa, Ghulam
Khan, Fahim
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-14
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We present two collocation algorithms based on interpolating and approximating subdivision schemes for the solution of fourth order boundary value problems arising in the mathematical modeling of viscoelastic, and inelastic flows, deformation of beams, arches, and load bearing members like street lights and robotic arms in multipurpose engineering systems.
Numerical examples are given to illustrate the algorithms.
We conclude that approximating schemes based collocation algorithms give better solution than interpolating schemes based collocation algorithms.
Main purpose of this paper is to explore and seek the applications of interpolating and approximating subdivision schemes in the field of boundary value problems along with intrinsic comparison of the results obtained by algorithms based on these schemes.
A comparison with other approaches of this type of boundary value problems in order to see the advantages of the proposed methods is also given.
American Psychological Association (APA)
Ejaz, Syeda Tehmina& Mustafa, Ghulam& Khan, Fahim. 2015. Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1073297
Modern Language Association (MLA)
Ejaz, Syeda Tehmina…[et al.]. Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-18.
https://search.emarefa.net/detail/BIM-1073297
American Medical Association (AMA)
Ejaz, Syeda Tehmina& Mustafa, Ghulam& Khan, Fahim. Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1073297
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073297