IAD Index of Academic Documents
  • Home Page
  • About
    • About Izmir Academy Association
    • About IAD Index
    • IAD Team
    • IAD Logos and Links
    • Policies
    • Contact
  • Submit A Journal
  • Submit A Conference
  • Submit Paper/Book
    • Submit a Preprint
    • Submit a Book
  • Contact
  • Cankaya University Journal of Science and Engineering
  • Volume:12 Issue:2
  • Two-dimensional Chebyshev Polynomials for Solving Two-dimensional Integro-Differential Equations

Two-dimensional Chebyshev Polynomials for Solving Two-dimensional Integro-Differential Equations

Authors : Azim RİVAZ, Samane JAHAN ARA, Farzaneh YOUSEFİ
Pages : 0-0
View : 19 | Download : 11
Publication Date : 2015-11-01
Article Type : Research Paper
Abstract :In this paper, we present a new approach to obtain the numerical solution of the linear twodimensional Fredholm and Volterra integro-differential equations insert ignore into journalissuearticles values(2D-FIDE and 2D-VIDE);. First, we introduce the two-dimensional Chebyshev polynomials and construct their operational matrices of integration. Then, both of them, two-dimensional Chebyshev polynomials and their operational matrix of integration, are used to represent the matrix form of 2D-FIDE and 2D-VIDE. The main characteristic of this approach is that it reduces 2D-FIDE and 2D-VIDE to a system of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the presented technique
Keywords : Two dimensional Fredholm and Volterra integro differential equations, Two dimensional Chebyshev polynomials, Operational matrix of integration

ORIGINAL ARTICLE URL
VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.


Index of Academic Documents
İzmir Academy Association
CopyRight © 2023-2025