A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential equations of fractional order.The operational matrix of Haar wavelets via BPFs is derived and together with Haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. Our new met...

Using the operational matrix of an orthogonal function to perform integration for solving, identifying and optimizing a linear dynamic system has several advantages: (1) the method is computer oriented, thus solving higher order differential equation becomes a matter of dimension increasing; (2) the solution is a multiresolution type; (3) the answer is convergent, even the size of increment is ...

in this paper, a numerical efficient method based on two-dimensional block-pulse functions (bpfs) is proposed to approximate a solution of the two-dimensional linear stochastic volterra-fredholm integral equation. finally the accuracy of this method will be shown by an example.

A method for finding the optimal control of singular system with a quadratic cost functional using block pulse function is discussed. After introducing block pulse function in the beginning we develop an operational matrix for solving singular state equations. A numerical example is included to demonstrate the validity and applicability of the technique. Keywords— Optimal control, Singular syst...

A recently developed spatial operator algebra approach to modeling and analysis of multibody robotic systems is used to develop O(n) recursive algorithms that compute the operational space mass matrix and the operational space coriolis/centrifugal and gravity terms of an n-link serial manipulator. These algorithms enable an O(n) recursive implementation of operational space control.

This paper presents a computational method for solving stochastic ItoVolterra integral equations. First, Haar wavelets and their properties are employed to derive a general procedure for forming the stochastic operational matrix of Haar wavelets. Then, application of this stochastic operational matrix for solving stochastic Ito-Volterra integral equations is explained. The convergence and error...

A recently developed Spatial Operator Algebra approach to modeling and analysis of multibody robotic systems is used to develop O(n) recursive algorithms which compute the Operational Space mass matrix and the Operational Space coriolis/centrifugal and gravity terms of an n{link serial manipulator. These algorithms enable an O(n) recursive implementation of Operational Space Control.