Operational Matrix
The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications
... construct operational matrix of fractional derivative for some types of classical orthogonal ...Legendre operational matrix for fractional derivatives and applied it for numerical solution of ...
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Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation
... In this paper, we constructed operational matrix of derivative of hybrid the third kind Chebyshev polynomials and Block-pulse functions. Also, we applied these matrices to convert Fredholm ...
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Operational matrix based on Genocchi polynomials for solution of delay differential equations
... Delay differential equations play an important role in explain- ing different phenomena in many different fields of study such as biology, physics, economics, electrodynamics, control theory etc. [1–3]. According to [2], ...
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A Numerical Method For Solving Physiology Problems By Shifted Chebyshev Operational Matrix
... In this study, a new numerical solution of singular nonlinear differential equations, stemming from biology and physiology problems, is proposed. The methodology is primarily based on the shifted Chebyshev polynomials ...
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Bernoulli operational matrix method for system of linear Volterra integral equations
... new operational matrix which was a sparse ...new operational matrix we reduces the system of integral equations to a system of linear algebraic equations that can be solved easily by any usual ...
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Solution of the Generalized Abel Integral Equation by Using Almost Bernstein Operational Matrix
... Figure 13 shows two approximate solutions obtained by applying the operational matrix of integration of order (dotted blue) and the operational matrix of inte- gration of order (solid red). ...
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A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
... Orthogonal functions have received noticeable consideration in dealing with various problems. The main advantage behind the approach using this method is that it reduces these problems to those of solving a system of ...
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Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix Method
... To demonstrate the efficiency and the practi- cability of the proposed method based on Haar wavelet operational matrix method, we consider the following example. In order to show the effi- ciency of method ...
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The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
... the operational matrix of frac- tional derivatives with the help of tau approximations based on Legendre polynomials and Chebyshev polynomials for numerical solutions of SFDEs, ...
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Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations
... Fractional calculus, the calculus of derivative and integral of any order, is used as a powerful tool in science and engineering to study the behaviors of real world phenomena especially the ones that cannot be fully ...
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Solving Differential Equations of Second Order using Quadratic Legendre Multi wavelets (QLMW) with Operational Matrix of Integration
... In this paper is suggested an efficient method to solve differential equations. Using quadratic Legendre multi-wavelets approximation method, differential equations are converted into the system of algebraic equations ...
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The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications
... ational matrix of Caputo fractional-order derivatives for Chebyshev polynomials, which was derived in [] to solve a system of ...the operational matrix of fractional integration of the generalized ...
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Bernstein Multi-Scaling Operational Matrix Method for Nonlinear Matrix Differential Models of Second-Order
... linear matrix differential equations of second ...the operational matrix of the integration based on the Bernstein multi- scaling polynomials are used to reduce the main problem to system of ...
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Sinc operational matrix method for solving the Bagley-Torvik equation
... Sinc function properties are discussed thoroughly in [ 9 , 26 ] and it is widely used for solving a wide range of problems arising from scientific and en- gineering applications including[r] ...
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Chebyshev wavelets method for solving Bratu’s problem
... The Chebyshev wavelet operational matrix of derivative together with the col- location method are used to reduce the problem to the solution of nonlinear algebraic... Illustrative exampl[r] ...
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Online Full Text
... associated operational matrix, the considered equations will be reduced to the corresponding systems of algebraic equations, which can be solved by computer ...
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A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... the operational matrix of fractional derivative. This matrix is introduced and applied with the Galerkin method for solving linear frac- tional differential equations ...new operational ...
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An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order
... An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic ...
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A new Legendre wavelets decomposition method for solving PDEs
... This paper is organized as follows: In section 2, we give a detailed description of the Legendre wavelets decomposition of a function dependent on the temporal variable t and the space variable x. Section 3 is de- voted ...
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Numerical Algorithm to Solve Fractional Integro-Differential Equations Based on Legendre Wavelets Method
... [15] I. Podlubny, Fractional Differential Equations, Academic press, 1999. [16] Y.L. Li, N. Sun, “Numerical solution of fractional differential equations using the generalized block pulse operational ...
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