Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
R. Jafri
1
(Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
R. Ezzati
2
(Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
K. ‎Maleknejad‎
3
(Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
کلید واژه: Fredholm integro-differential , Hybrid function, Chebyshev polynomial, Block-pulse function, Operational matrix of &, lrm, der,
چکیده مقاله :
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.‎