[PDF] Top 20 Numerical solution of systems of linear Volterra integral equations using block-pulse functions

... of integral equations to a linear system of Ordinary Differential Equations, which are solved by constructing appropriate boundary conditions ...Haar functions with their product ... See full document

... Ali Abdollahi is an assistant pro- fessor at the Department of Mathe- matics, Maragheh Branch, Islamic Azad University, Maragheh, Iran. Interested in numerical analysis and integral Equations. He is ... See full document

... The next result gives the analogous expression of the fuzzy gH-derivative in terms of the derivatives of the endpoints of the level sets. This result extends the result given in [, Theorem ] and it is a ... See full document

... and linear Volterra-Fredholm ordinary integral equations arise from vari- ous physical and biological ...and linear Volterra-Fredholm ordinary integral equations of ... See full document

... Integral equations appear in mathematical modeling of different disciplines such a biology, chemistry, physics, en- ...many numerical methods for ap- proximating the solution of Fredholm and ... See full document

... of equations can not be solved analytically. Also, there is the numerical method for solving the stochastic volterra-fredholm integral equations by using properties of the ... See full document

... solving systems of Volterra integral equations of the first ...the linear integral equations were considered, but examples were investigated for non-linear ... See full document

... obtain numerical solution of Volterra- Fredholm integral ...of Volterra-Fredholm integral equation, we use inversion form of F-transform instead of precise representation of the ... See full document

... these equations with operational ma- trices with more huge computations and opera- tion counts ...Fredholm integral equation to an optimal control problem and then used a linear programming to solve ... See full document

... decades, numerical methods in Electromagnetics have been the subject of extensive researches ...by integral and integro-differential equations (see [12–21]); for example, electric field integral ... See full document

... in numerical analysis; numerical solution of linear and nonlinear inte- gral, integro-differential, and differential equa- tions; numerical linear algebra; and computa- tional ... See full document

... the linear second kind integral ...any functions, which are required in the approximation for the integral ...the integral equation to the solution of linear algebraic ... See full document

... by block-by-block method by ...by using method 1(see table 5 in [18]), method 2 (see table 1in [17]) and method 3 (see table 1in [15]) ...the solution of obtained by the present method with k ... See full document

... How to cite this paper: Jiang, G., Sang, X.Y., Wu, J.H. and Li, B.W. (2019) Numer- ical Solution of Two-Dimensional Nonli- near Stochastic Itô-Volterra Integral Equa- tions by Applying Block ... See full document

... dynamic systems [8], vari- ational problems [6], integral equations [3,5], integro- differential equations [4], Nonlinear Constrained Opti- mal Control Problems [9], and ... See full document

... finite-dimensional linear systems is well ...finite-dimensional linear systems, one can view integral equations as extensions of linear systems of algebraic ...An ... See full document

... the integral equations to a similar problem with smooth solutions (see, [3, 6, 7, 9, ...the solution into regular and singular parts. Using this method, one can transform a single ... See full document

... For finding numerical solution of linear equation of type (1), Volterra applied the method of quadratures. Further, this method was revised and modified by many scientists (Corduneanu, 1991 ... See full document

... The rest of the paper is organized as follows: In Section 2, we introduced some properties of the standard Brownian motion and the necessary properties of the NBFs that are essential for the rest of this paper. In ... See full document

... We introduced the Petrov-Galerkin method for numerical solution of stochastic Volterra integral equations. The ad- vantages of this method is that it can be constructed simply, and by ... See full document