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   numerical solution of fredholm integro-differential equations by using hybrid function operational matrix of ‎differentiation‎  
   
نویسنده jafari r. ,ezzati r. ,‎maleknejad‎ k.
منبع international journal of industrial mathematics - 2017 - دوره : 9 - شماره : 4 - صفحه:349 -358
چکیده    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.‎
کلیدواژه fredholm integro-differential equation ,hybrid function ,chebyshev polynomial ,block-pulse function ,operational matrix of ‎derivative
آدرس ‎islamic azad university‎‎, ‎karaj branch, department of mathematics‎, ایران, ‎islamic azad university‎‎, ‎karaj branch, department of mathematics‎, ایران, ‎islamic azad university‎‎, ‎karaj branch, department of mathematics‎, ایران
 
     
   
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