[PDF] Top 20 Reproducing kernel method for solving Wiener-Hopf equations of the second kind

... a reproducing kernel method for solving Wiener-Hopf equations of the second ...numerical method is the representation of exact solution in reproducing ... See full document

... considered second kind Fredholm integral equation with Hilbert type singu- larity ...using reproducing kernel ...logarithmic kernel and Kalman ker- nel with boundary values ... See full document

... differential equations. Typical of them are the element-free Galerkin method (EFGM) [13,14], the HP meshless method [15], the MLS reproducing kernel method [16] and the meshless ... See full document

... the kernel that might have singularity in the region D = { (x, t) : 0 ≤ x, t < ∞} and F (x) is continuous function and A is fixed constant vector, and U (x) is the unknown vector function of the solution that ... See full document

... collocation method to approximate solutions of a system of Volterra-Fredholm integral equations in terms of Taylor ...integral equations of the first kind with highly oscillatory Bessel ... See full document

... multipole method (FMM) which has been widely used for solving large scale engineering problems such as potential, elastostatic, Stokes flow, and acoustic wave ...the kernel k(y, x) has multipole ... See full document

... differential equations, see ...differences method [4], collocation methods [10, 15], Richardson extrapolation [6], shooting techniques [7, 11], projection method [16], suc- cessive and Pad ... See full document

... numerical method for solving a class of singular integro-differential equations of the second kind that contain derivatives of the states at previous certain times of the finite history ... See full document

... Reproducing kernel method is practical to solve singular or nonsingular integral equations in the reproducing kernel Hilbert space which was pre- sented by Zaremba in ...integral ... See full document

... In section 2, some basic definitions which will be used later in the paper are provided. In section 3, the fuzzy Laplace transform is studied. In section 4, the fuzzy convolution Volterra integral equation of the ... See full document

... n method (RKM) has been a promising method the last decades, the reproducing kernel which applied more and more for solving vari- ous problems such as ordinary differential equa- tions, ... See full document

... integral equations of the second kind, when the norm of the integral operator is equal to ...the second kind, to which by virtue of ‘the incompressibility’ of the kernel the ... See full document

... Reproducing kernel theory has important scientific applications in numerical analysis, ordinary and fractional differential equations, probability, statistics, and learning ...RKHS method for ... See full document

... = =  for N = 20, 200 . The numerical results for Example 1 and 2 are listed in Table 1, Table 2 and Figure 1, Figure 2. The results shown in Table 1, Table 2, indicate that the approximate solution and its derivatives ... See full document

... the kernel function which is known, continuous and bounded on the square D = {(x, y) | a ≤ x, y ≤ b, c ≤ s, t ≤ d} and u(x) is unknown function which must be ... See full document

... degenerate kernel method (DKM) is a well-known classical method for solving Fredholm integral equations of the second kind, and it is one of the easiest numerical methods ... See full document

... Integro-differential equations occur in various areas. These equations arise in mathematical modeling of many scientific phenomena, such as fluid dy- namics, solid state physics, plasma physics, mathematical ... See full document

... The organization of the paper is as follows. In Section 2, we describe the construction of quadrature rule based on spline quasi-interpolant. In Section 3, we give an application of the quadrature rule of Section 2 to ... See full document

... to solving a system of nonlinear algebraic ...numerical method for approximating the solution of nonlinear Fred- holm-Volterra integral equation of the form: ... See full document

... Convergent Method (EOCM) developed by Vatti et.al is considered and this method is further studied without the presence of second ...this method has same efficiency index as that of ... See full document