Next Article in Journal
Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems
Previous Article in Journal
A Method of Hybrid Multiple Attributes Group Decision Making with Risk Considering Decision-Makers' Confidence
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
MCA
Volume 20
Issue 2
10.3390/mca20010093
mca-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles thumb_up
...
Endorse textsms
...
Comment
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Shifted Jacobi Collocation Method Based on Operational Matrix for Solving the Systems of Fredholm and Volterra Integral Equations

by
Abdollah Borhanifar
* and
Khadijeh Sadri
*
Department of Applied Mathematics, Faculty of Mathematical Sciences Mohaghegh Ardabili University, Ardabil, Iran
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2015, 20(2), 76-93; https://doi.org/10.3390/mca20010093
Published: 1 August 2015
Versions Notes

Abstract

This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product. The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra equations. These matrices together with the collocation method are applied to reduce the solution of these problems to the solution of a system of algebraic equations. The method is applied to solve system of linear and nonlinear Fredholm and Volterra equations. Illustrative examples are included to demonstrate the validity and efficiency of the presented method. Also, several theorems, which are related to the convergence of the proposed method, will be presented.
Keywords: Collocation Method; Shifted Jacobi Polynomials; System of Fredholm and Volterra Integral Equations; Convergence; Operational Integral and Product Matrices Collocation Method; Shifted Jacobi Polynomials; System of Fredholm and Volterra Integral Equations; Convergence; Operational Integral and Product Matrices

Share and Cite

MDPI and ACS Style

Borhanifar, A.; Sadri, K. Shifted Jacobi Collocation Method Based on Operational Matrix for Solving the Systems of Fredholm and Volterra Integral Equations. Math. Comput. Appl. 2015, 20, 76-93. https://doi.org/10.3390/mca20010093

AMA Style

Borhanifar A, Sadri K. Shifted Jacobi Collocation Method Based on Operational Matrix for Solving the Systems of Fredholm and Volterra Integral Equations. Mathematical and Computational Applications. 2015; 20(2):76-93. https://doi.org/10.3390/mca20010093

Chicago/Turabian Style

Borhanifar, Abdollah, and Khadijeh Sadri. 2015. "Shifted Jacobi Collocation Method Based on Operational Matrix for Solving the Systems of Fredholm and Volterra Integral Equations" Mathematical and Computational Applications 20, no. 2: 76-93. https://doi.org/10.3390/mca20010093

APA Style

Borhanifar, A., & Sadri, K. (2015). Shifted Jacobi Collocation Method Based on Operational Matrix for Solving the Systems of Fredholm and Volterra Integral Equations. Mathematical and Computational Applications, 20(2), 76-93. https://doi.org/10.3390/mca20010093

Article Metrics

Back to TopTop