[PDF] Top 20 Sinc Nyström method for a class of nonlinear Volterra integral equations of the first kind

... wavelet method []. However, nonlinear problems are still a ...matrices method by using piecewise constant orthogo- nal functions and homotopy perturbation method for solving nonlinear ... See full document

... a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first ...the first kind to a one-dimensional linear VIE of the first ... See full document

... dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...dimensional integral ... See full document

... and nonlinear Volterra integral equations of the first ...this method, we obtained some new op- erational matrices based on Bernstein polynomi- ...solving Volterra ... See full document

... and nonlinear Volterra integral equations of the second ...converting integral equation of the first kind to a linear equation of the second kind and the ordinary ... See full document

... “smooth”) Volterra integral equations of the first kind belong to the class of well-posed problems and hence can be solved through any direct method based on the ... See full document

... numerical method for solving linear integral equations, ...of nonlinear Volterra-Fredholm integral equa- tion by collocation methods, ... See full document

... the integral equation can be classified into two classes, which are Volterra integral equations and Fredholm integral ...The Volterra integral equations are special ... See full document

... and nonlinear problems has been devoted by scientists and engineers, for example, non- linear systems of ordinary differential equations [11], boundary value problems [22], delay dif- ferential ... See full document

... a class of Runge–Kutta methods has been successfully implemented for solv- ing fractional Riccati differential ...singular nonlinear Volterra integral equation of the second kind ... See full document

... Professor Dr. Khosrow Maleknejad Obtained his MSc degree in Applied Mathematics from Tehran University, Iran, in 1972 and received his PhD degree in Applied Mathemat- ics in Numerical Analysis area from the University of ... See full document

... collocation method to solve nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by ... 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 ... See full document

... ence and Technology where he has been a Profes- sor since 2002. During 19912000, he also served as Vice-chair for graduate students. He was a Visiting Professor at the University of California at Los Angeles in 1990. His ... See full document

... [8]-[11], integral equations with nonsigular kernels have been ...quadratic Volterra equations with ...quadratic integral equations of arbitrary orders with singular ...quadratic ... See full document

... a Volterra integral equations of the difference form ( ) , the equation is said to be of convolution type and may be solved by using the Laplace transform, which is gives the exact solution of ... See full document

... abstract nonlinear ana- logue of the Volterra equations and its corresponding ...of Volterra equation ...the integral inequality ... See full document

... In the present section, we state the solvability of integral equations with vanishing delay. The following theorem generalizes Volterras 1897 classical result on the existence and uniqueness of solutions ... See full document

... and integral inequalities occupy a very privileged position in the theory of differential and integral ...years nonlinear integral inequalities have received considerable attention because of ... See full document

... for integral equations such as implicitly linear collo- cation methods [1], product integration method [2], Her- mite-type collocation method [3] and analytical (semi- analytical) techniques ... See full document