[PDF] Top 20 Numerical Solution of the Fredholme Volterra Integral Equation by the Sinc Function

... [6] N. Eggert, M. Jarrat and J. Lund, “Sinc Function Compu- tation of the Eigenvalues of Sturm—Liouville Problems,” Journal of Computational Physics, Vol. 69, No. 1, 1987, pp. 209-229. ... See full document

... of equation (1) is ...of sinc function that is necessary for the formulation of the delay integral ...equation. Sinc-collocation method is considered in Section ... See full document

... equations. Numerical simulation in engineering science and in applied mathematics has become a powerful tool to model the physical phenomena, particularly when analytical solutions are not available then very ... See full document

... processing, numerical analysis, and many other ...ical solution of integral and differential equations ...o-Voltera integral equation is ... See full document

... A numerical method for solving nonlinear Fredholm-Volterra integral equations of general type is ...unknown function by truncated series of well known Chebyshev expansion of ...calculate ... 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

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

... In this paper, we use the continuous Legendre wavelets on the interval [0,1] constructed by Razzaghi M. and Yousefi S. [6] to solve the linear second kind integral equations. We use quadrature formula for the ... See full document

... The numerical solution of equation () with a weakly singular kernel was considered by many authors, such as finite-element methods [, ], finite-difference methods [, ], compact difference schemes ... See full document

... Fredholm integral term and second integral in Eq. (1.1) is Volterra integral ...unique solution f (x) [11, 7]. Several numerical methods have been applied for solving nonlinear ... 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 ... 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

... for solution of stochastic Volterra integral ...the solution of stochastic Volterra integral equation is reduced to algebraic ... See full document

... for numerical solution of Volterra integral equation of the second ...the integral equation reduces to solve a recurrence ...approximate solution is iteratively ... See full document

... of Volterra integral equations have received consid- erable attention mainly due to their high ac- ...number sinc points in- ...[13] sinc-collocation method is emplyed to solve Hammerstein ... See full document

... view integral equations as extensions of linear systems of algebraic ...An integral equation maybe interpreted as an analogue of a matrix equation which is easier to ...transform ... 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

... Singular Volterra integral equation of the first ...kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we apply the ... See full document

... the Sinc function and SE, DE Sinc quadrature for indefinite ..., Sinc Nyström methods for the nonlinear Volterra integral equations of the first kind are ..., numerical ... See full document

... This paper suggests a computational technique for solving of the nonlinear stochastic differential equation. We use from the stochastic operational matrix based on the NBFs in combination with the collocation ... See full document