Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-22
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition.
Using the reproducing property and the existence of orthogonal basis in a new reproducing kernel Hilbert space, we obtain a representation of exact solution in series form and its approximate solution by truncating the series.
Moreover, the uniform convergency is proved and the effectiveness of the proposed method is illustrated with some examples.
American Psychological Association (APA)
Niu, Jing& Lin, Yingzhen. 2014. Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014391
Modern Language Association (MLA)
Niu, Jing& Lin, Yingzhen. Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014391
American Medical Association (AMA)
Niu, Jing& Lin, Yingzhen. Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014391
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014391