A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations

Joint Authors

al-Smadi, Mohammed
Abu Arqub, Omar
Momani, Shaher M.

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-22

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Civil Engineering

Abstract EN

In this paper, reproducing kernel Hilbert space method is applied to approximate the solution of two-point boundary value problems for fourth-order Fredholm-Volterra integrodifferential equations.

The analytical solution was calculated in the form of convergent series in the space W25[a,b] with easily computable components.

In the proposed method, the n-term approximation is obtained and is proved to converge to the analytical solution.

Meanwhile, the error of the approximate solution is monotone decreasing in the sense of the norm of W25[a,b].

The proposed technique is applied to several examples to illustrate the accuracy, efficiency, and applicability of the method.

American Psychological Association (APA)

al-Smadi, Mohammed& Abu Arqub, Omar& Momani, Shaher M.. 2013. A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010890

Modern Language Association (MLA)

al-Smadi, Mohammed…[et al.]. A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1010890

American Medical Association (AMA)

al-Smadi, Mohammed& Abu Arqub, Omar& Momani, Shaher M.. A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010890

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1010890