Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations
Joint Authors
Fariborzi Araghi, M. A.
Farzaneh Javan, Sedigheh
Abbasbandy, Saeid
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A new approach based on the Reproducing Kernel Hilbert Space Method is proposed to approximate the solution of the second-kind nonlinear integral equations.
In this case, the Gram-Schmidt process is substituted by another process so that a satisfactory result is obtained.
In this method, the solution is expressed in the form of a series.
Furthermore, the convergence of the proposed technique is proved.
In order to illustrate the effectiveness and efficiency of the method, four sample integral equations arising in electromagnetics are solved via the given algorithm.
American Psychological Association (APA)
Farzaneh Javan, Sedigheh& Abbasbandy, Saeid& Fariborzi Araghi, M. A.. 2017. Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1191893
Modern Language Association (MLA)
Farzaneh Javan, Sedigheh…[et al.]. Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1191893
American Medical Association (AMA)
Farzaneh Javan, Sedigheh& Abbasbandy, Saeid& Fariborzi Araghi, M. A.. Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1191893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191893