Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

Joint Authors

Lin, Yingzhen
Niu, Jing

Source

Abstract and Applied Analysis

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

Mathematics

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