Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

Joint Authors

Gao, Yue
Lv, Xueqin

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-05-15

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space.

A simple algorithm is given to obtain the approximate solutions of the equation.

Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation.

At the same time the numerical solution of the equation is stable.

American Psychological Association (APA)

Lv, Xueqin& Gao, Yue. 2012. Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-512470

Modern Language Association (MLA)

Lv, Xueqin& Gao, Yue. Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability. Abstract and Applied Analysis No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-512470

American Medical Association (AMA)

Lv, Xueqin& Gao, Yue. Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-512470

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-512470