Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Abstract
In this paper, first, a numerical method is presented for solving a class of linear Fredholm integro-differential equation. The operational matrix of derivative is obtained by introducing hybrid third kind Chebyshev polynomials and Block-pulse functions. The application of the proposed operational matrix with tau method is then utilized to transform the integro-differential equations to the algebraic equations. Finally, show the efficiency of the proposed method is indicated by some numerical examples.
Jafri, R., Ezzati, R., & Maleknejad, K. (2017). Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation. International Journal of Industrial Mathematics, 9(4), 349-358.
MLA
R. Jafri; R. Ezzati; K. Maleknejad. "Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation". International Journal of Industrial Mathematics, 9, 4, 2017, 349-358.
HARVARD
Jafri, R., Ezzati, R., Maleknejad, K. (2017). 'Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation', International Journal of Industrial Mathematics, 9(4), pp. 349-358.
VANCOUVER
Jafri, R., Ezzati, R., Maleknejad, K. Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation. International Journal of Industrial Mathematics, 2017; 9(4): 349-358.
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