نتایج جستجو برای: operational matrix

تعداد نتایج: 440204  

Journal: :computational methods for differential equations 0
farshid mirzaee malayer university

in this paper, we propose and analyze an efficient matrix methodbased on bell polynomials for numerically solving nonlinear fredholm- volterraintegral equations. for this aim, first we calculate operational matrix of integration and product based on bell polynomials. by using these matrices, nonlinearfredholm-volterra integral equations reduce to the system of nonlinear algebraicequations which...

Journal: :computational methods for differential equations 0
mohammadreza ahmadi darani department of applied mathematics, faculty of mathematical sciences, shahrekord university, p.o. box 115, shahrekord, iran. abbas saadatmandi department of applied mathematics, faculty of mathematical sciences, university of kashan, kashan 87317-51167, iran

in this paper, we introduce a family of fractional-order chebyshev functions based on the classical chebyshev polynomials. we calculate and derive the operational matrix of derivative of fractional order $gamma$ in the caputo sense using the fractional-order chebyshev functions. this matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...

Journal: :computational methods for differential equations 0
waleed m. abd- elhameed department of mathematics, faculty of science, king abdulaziz university, jeddah, saudi arabia youssri youssri department of mathematics, faculty of science, cairo university, giza-egypt eid h. doha department of mathematics, faculty of science, cairo university, giza-egypt

in this paper, the ultraspherical operational matrices of derivatives are constructed. based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate spectral solutions of a class of linear and nonlinear lane-emden type singular initial value problems. the basic idea behind the suggested algorithms is basically built on transforming the eq...

Journal: :computational methods for differential equations 0
m. behroozifar babol university of technology s. a. yousefi shahid beheshti university

in this paper, we introduce hybrid of block-pulse functions and bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. then, we utilize them to solvedelay differential equations and time-delay system. the method is based upon ex...

Journal: :international journal of information, security and systems management 2015
elnaz poorfattah akbar jafari shaerlar

in this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional volterra-fredholm integro-differential equations. here, we use the so-called two-dimensional block-pulse functions.first, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. then, by using this matrices, the nonlinear two-dimensional vol...

Abstract. The main contribution of the current paper is to propose a new effective numerical method for solving the first-order linear matrix differential equations. Properties of the Legendre basis operational matrix of integration together with a collocation method are applied to reduce the problem to a coupled linear matrix equations. Afterwards, an iterative algorithm is examined for solvin...

‎In this paper‎, ‎we present a numerical method based on Bernstein polynomials to solve optimal control systems with constant and pantograph delays‎. ‎Constant or pantograph delays may appear in state-control or both‎. ‎We derive delay operational matrix and pantograph operational matrix for Bernstein polynomials then‎, ‎these are utilized to reduce the solution of optimal control with constant...

Journal: :علوم 0
یداله اردوخانی yadollah ordokhani alzahra universityدانشگاه الزهرا ندا رحیمی neda rahimi alzahra universityدانشگاه الزهرا

in this paper rationalized haar (rh) functions method is applied to approximate the numerical solution of the fractional volterra integro-differential equations (fvides). the fractional derivatives are described in caputo sense. the properties of rh functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce t...

Journal: :wavelets and linear algebra 0
ataollah askari hemmat depatrment of mathematics graduate university of advanced technology tahereh ismaeelpour shahid bahonar university of kerman habibollah saeedi shahid bahonar university of kerman, kerman, iran

in this work, we proposed an ef ective method based on cubic and pantic b-spline scaling functions to solve partial di fferential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. we derived the operational matrix of fractional integration of cubic and pantic b-spline scaling functions and used them to transform the mentioned equations to a ...

Journal: :iranian journal of science and technology (sciences) 2013
g. h. erjaee

in this article we implement an operational matrix of fractional integration for legendre polynomials. we proposed an algorithm to obtain an approximation solution for fractional differential equations, described in riemann-liouville sense, based on shifted legendre polynomials. this method was applied to solve linear multi-order fractional differential equation with initial conditions, and the...

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