[PDF] Top 20 Convergence of approximate solution of delay Volterra integral equations

... Sinc methods for approximating the solutions of Volterra integral equa- tions have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact ... See full document

... nonlinear Volterra integral equations with general vanishing delays is ...of Volterra integral equations have received considerable attention mainly due to their high ... See full document

... ordinary differential equation, we employ the in- tegration method. This method is simple and effective, and can provide an accurate approxi- mate solution to the stochastic integral equations. The ... See full document

... Method of regularization, approximate solution of integral equations, rates of convergence, nonparametric regression, Abel's equation, particle size distribution.... where the £'s are ra[r] ... See full document

... the approximate solution of linear second-kind Fredholm integral equations [3], [2], [13], el- liptic partial dierential equations which are preconditioned by solvers for high order ... See full document

... kind Volterra integral equation available in the existing literature [1], ...The convergence of each linear Volterra integral equation is calculated by: ... See full document

... Table 5 shows the comparison between the exact solution and approximate solution obtained by proposed method for different values of N. Also, in this table we compare proposed method with modification ... See full document

... integral equations. But the number of papers on the numerical solution of stochastic integral equations are still very ...Stratonovich Volterra integral equa- tion [15] ... See full document

... differential equations [11], boundary value problems [22], delay dif- ferential equations [19], high order differential equations[1], integral equation [27] and integro- differential ... See full document

... to approximate so- lution of nonlinear mixed Volterra-Fredholm integral equations of the second kind, based on the expansion of the solution as series of ...mixed ... See full document

... integral equations. Several methods have been proposed for exact solution of these equations ...differential equations. The solution is found as infinite series which ... See full document

... solving integral equations, has brought in yet another dimension into the existing problems and has helped to usher in a new body of knowledge for further ...solving integral equations in the ... See full document

... TOCHASTIC Volterra integral equations (SVIEs) is a fast developing field, with applications in economics, sociology, biology, medical models and ...Stochastic Volterra integral ... See full document

... to approximate the solution of linear and nonlinear Volterra integral equations of the first ...solving Volterra integral equa- tions of the first kind is very effective, ... See full document

... Kantorovich L.V., Akilov G.P. (1982). Functional Analysis. Pergamon press Ltd.and Nauka publisher. Karoui A., Jawahdou A. (2010). Existence and approximate L p and contin-uous solutions of nonlinear ... See full document

... Random integral equations of the Volterra type occur in the general areas of biology, engineering, and ...stochastic integral equations of the volterra type [12], [3], ...unique ... See full document

... solve Volterra in- tegral equations of the first kind, and Fredholm-Volterra integral ...prove convergence theorem for the numerical solution of Volterra integral ... See full document

... present approximate solution of the two-dimensional sin- gular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace ... See full document

... Usually, the name of numerical methods agrees with the scheme of finding its coefficients. In this connection the finite-difference and multistep methods and also Obreshkov k -step methods are constructed by the same ... See full document

... In this paper, non-polynomial spline function method for solving Volterra integral equations of the second kind is presented successfully. This idea based on the use of the VIE's and its derivatives. ... See full document