[PDF] Top 20 Convergence of an Approach for Solving Fredholm Functional Integral Equations

... for solving a Fredholm functional integral equation (FIE) of the second ...method solving FIE reduce to solving an algebraic system of ...the convergence of the ... See full document

... [19,20] convergence was investigated when the method applied to a general functional equations and to specific type of equations in ...In convergence analysis, Adomian’s polynomials ... See full document

... asymptotic convergence analysis of a regularized degenerate kernel method for Fredholm integral equations of the first ...kind. Convergence theorems were proved in both the mean-square ... See full document

... new approach to 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

... an approach based on statistical spline model (SSM) and colloca- tion method is proposed to solve Volterra-Fredholm integral ...the convergence property of this ... See full document

... Volterra-Fredholm integral equations is ...the integral equation obtained by discretization of the integral equation, the convergence of the approximate solution to the exact ... See full document

... Volterra-Fredholm integral equation of the first kind is solved by using the homotopy analysis method ...kind integral equation can be reduced to the second kind integral equation which can be ... See full document

... is the same as that of Dubois and Prade in [3]. Park et al. in [7] have considered the existence of solution of fuzzy integral equation in Banach space and Subrahmaniam and Sudarsanam in [10] have proved the ... See full document

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

... The results obtained by the Chebyshev distribution of points for different numbers of N in terms of RM S is given in Tables 2, 3 and 4. The distribution of nodes are depicted for N = 216 in Figure 3. As we expected, from ... See full document

... of integral equations (Fredholm integral equation, integro-differential equations and system of linear Fredholm integral equations) and boundary value problems ... See full document

... Now, we present two illustrative example to show the accuracy and the convergence of the method. Comparing the error between calculated numer- ical results in introduced optimal method and classical trapezoidal ... See full document

... The system (33) solved by three method, first by block-by-block method by R. Kataniand and S. Shahmorad [18], second, an expansion method by M. Rabbania and K. Maleknejad [17], third, Biorthogonal systems M.I. Berenguer ... See full document

... for solving integral equations of the second kind was improved to fuzzy Galerkin ...and convergence of the extended method were discussed and some results were ... See full document

... Now as it is clear, the integral term on the right-hand side of (1.1) is at most weakly singular. Using this regularized formula we are going to solve some important first and second kind Fredholm’s integral ... See full document

... Remark 1 The spline piecewise functions are very es- sential tools in approximation Theory. Then for this we applied B-Splines for approximation of unknown answer in integro-differential equations. From Tables, We ... See full document

... for solving many functional equations such as ordinary, partial differential equations, integral equations and so many other ...for solving the one-dimensional ... See full document

... the Fredholm integral equation with a ≠ 0 and b ≠ 1 ...for solving Volterra integral equation, Fredholm integro-differential equation and Volterra integro- differential ... See full document

... Volterra-Fredholm integral inequalities, which can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some Volterra-Fredholm nonlinear ... See full document

... physics equations as well known introduced to discuss dual series or dual integral equation DIE ...Hankel integral transform) and based on the application of DIE method with Bessel unction as a ...a ... See full document