[PDF] Top 20 Convergence of Numerical Method For the Solution of Nonlinear Delay Volterra Integral ‎Equations‎

... lay Volterra integral equations arise widely ecology, control theory, ...these equations, they must be solved successfully with efficient numerical ap- ...in convergence ... See full document

... collocation method to obtain the ap- proximate solution of nonlinear Stratonovich Volterra integral ...this method is that Legendre wavelet has orthogonality property and ... See full document

... of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize ...integration solution of the linear form is found and sufficient conditions ... See full document

... A numerical method for solving nonlinear Fredholm-Volterra integral equations of general type is ...This method is based on replacement of unknown function by truncated ... See full document

... the numerical solution of Volterra- Fredholm integral equations by using expansion method based on the composition of the inverse and direct discrete fuzzy transforms (shortly ... See full document

... approximate solution in Table 1. The results reveal that the homotopy analysis method can provide us with a convenient way to adjust and control the convergence region and rate of approximation ... See full document

... Fredholme-Volterra Integral Equations. By using collocation method we estimate a solution for Fredholme-Volterra Integral ...Finally convergence of this ... See full document

... the solution of sys- tems of Volterra integral equations of the first ...of Volterra integral equations of the first kind by using various methods, such as Adomian ... See full document

... Collocation Method for the Solution of an Integral Equa- tion with a Certain Weakly Singular Kernel,” IMA Jour- nal of Numerical Analysis, ... See full document

... computational method 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 ... 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 differential equation ... See full document

... i   are collected in table I. According to these data, the value of (19) is 1.0172e-008, which is very close to zero. According to theorem 3.1, the function u(x), with the values in table I, is a solution for ... 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 Pulse ... See full document

... an integral. Once formulated as such, several numerical methods can be used to approximate the solution of an integral ...the method of Galerkin, collocation and Nystrom. Also, an ... See full document

... a numerical method for solv- ing the Volterra integral equation with a convolution ...The integral equation was first converted to an algebraic equation using the Laplace transform, ... See full document

... In this section, the theoretical results of the previous sections are used for numerical examples. Let X i denote the triangular coefficient of exact solution of the given example, and Y i be the triangular ... See full document

... singular nonlinear integro-differential equation is solved by using the homotopy perturbation and homotopy analysis methods ...approximation solution of this equation is calculated in the form of a series ... See full document

... Petrov-Galerkin method for numerical solution of stochastic Volterra integral ...this method is that it can be constructed simply, and by choosing the degree of test space lower ... See full document

... exact solution and approximate solution obtained by proposed method for different values of ...proposed method with modification of hat functions method (MHFs) [16] for different values of ... See full document

... the solution of nonlinear Volterra integral ...The method of quadratures that was first applied by Volterra to solving variable boundary integral equations is ... See full document