Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation
محل انتشار: مجله بین المللی ریاضیات صنعتی، دوره: 9، شماره: 4
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 32
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شناسه ملی سند علمی:
JR_IJIM-9-4_010
تاریخ نمایه سازی: 26 دی 1402
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.
نویسندگان
R. Jafri
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
R. Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
K. Maleknejad
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.