In this paper, we present a new approach to obtain the numerical solution of the linear twodimensional
Fredholm and Volterra integro-differential equations (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
Two-dimensional Fredholm and Volterra integro-differential equations Two-dimensional Chebyshev polynomials Operational matrix of integration
Konular | Mühendislik |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Kasım 2015 |
Yayımlandığı Sayı | Yıl 2015 Cilt: 12 Sayı: 2 |