[PDF] Top 20 Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix ‎Method

... on Haar functions was per- formed in the 1930s. In 1909, Haar discovered the simplest function that is called as Haar ...of Haar family called Haar operational matrix was ... See full document

... all wavelet families, Haar wavelet is most simple, accurate and effi- ...science. Haar wavelet has been used in wide variety of numerical meth- ods developed for numerical ... See full document

... of fractional order are speculated from integer order derivatives, they are obtained by substituting derivatives of integer order by fractional ...researchers, fractional calculus has became the ... See full document

... The operational matrices of the fractional integration related to first and second kind Chebyshev wavelets have been constructed to the numerical solution of fractional differential ... See full document

... construct operational matrix of fractional derivative for some types of classical orthogonal ...the fractional type of Chebysheve polynomials of the second kind and used it to numerical ... See full document

... A fractional partial differential equation (FPDE) is a partial differential equation which involves frac- tional calculus ...the numerical solutions of Initial - Boundary value problems for FPDEs have been ... See full document

... using Haar wavelet related method, Chen and Hsiao [8-9] had derived an operational matrix of integration based on Haar ...using Haar wavelet ...the numerical ... See full document

... processing, numerical analysis, and many other ...in system analysis, system identification, optimal control and numer- ical solution of integral and differential equations ... See full document

... by fractional differential and integral equations, and finding the solu- tions of these equations has been the subject of many investigators in recent ...developing numerical schemes for their solutions. Some ... See full document

... a solution to be deter- mined. In this paper, we apply an expansion method based on some orthonormal polynomials for problem ...their operational matrix representations and then convert it to ... See full document

... Chebyshev wavelet method together with the operational matrix of integration as a numerical scheme for approximating the pressure distribution of the single phase flow of fluid in a ... See full document

... an operational formulation of the Tau method based upon orthogonal polynomials by using a reduced set of matrix operations for the numerical solution of nonlinear multi-order ... See full document

... determining numerical solutions of the Bagley- Torvik ...the solution of this problem and proposed a numerical method in his ...decomposition method to solve the Bagley-Torvik equation ... See full document

... of fractional calculus of modeling physical system has been widely considered in the last decades, ...the fractional derivatives was introduced already in the middle of the 19 th century by Riemann ... See full document

... of system of Volterra integro- differential ...Single-Term Haar Wavelet Series (STHWS) method for solving the Volterra integro-differential ...This method was first presented by ... See full document

... proposed method is used to approximate the Duffing ...our numerical finding and demonstrate the accuracy of the proposed numerical scheme by considering numerical ... See full document

... transform method (ILTM) is ...transform method and Iterative method to solve space- and time- fractional telegraph ...The fractional derivatives are considered in Caputo ...illustrative ... See full document

... expansion-iterative method for nu- merically solving Volterra integral equations of the second ...proposed method will also be compared with those of the BPFs ...the method, the running times of its ... See full document

... paper, operational matrices of Bernstein polynomials (BPs) are presented for solving the non-linear fractional Logistic differential equation ...The fractional derivative is described in the ... See full document

... wavelets operational matrices of integrations with the aid of spectral and collocation methods are applied to solve many ...wavelets method authorizes the mood of very fast algorithms when compared to the ... See full document