Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions
Joint Authors
Arora, Shelly
Ganaie, Ishfaq Ahmad
Kukreja, V. K.
Source
International Journal of Engineering Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Engineering Sciences and Information Technology
Civil Engineering
Abstract EN
Cubic Hermite collocation method is proposed to solve two point linear and nonlinear boundary value problems subject to Dirichlet, Neumann, and Robin conditions.
Using several examples, it is shown that the scheme achieves the order of convergence as four, which is superior to various well known methods like finite difference method, finite volume method, orthogonal collocation method, and polynomial and nonpolynomial splines and B-spline method.
Numerical results for both linear and nonlinear cases are presented to demonstrate the effectiveness of the scheme.
American Psychological Association (APA)
Ganaie, Ishfaq Ahmad& Arora, Shelly& Kukreja, V. K.. 2014. Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions. International Journal of Engineering Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-466230
Modern Language Association (MLA)
Ganaie, Ishfaq Ahmad…[et al.]. Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions. International Journal of Engineering Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-466230
American Medical Association (AMA)
Ganaie, Ishfaq Ahmad& Arora, Shelly& Kukreja, V. K.. Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions. International Journal of Engineering Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-466230
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466230