[PDF] Top 20 A New Approach for Solving Volterra Integral Equations Using The Reproducing Kernel ‎Method

... 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

... This integral equation has been solved by an approximate method in [7] and the exact solution of this integral equation is u x ( ) 2sin ...our method by the exact solution in ... See full document

... Fredholm integral equations with weakly singular ...considered integral equation of first or third kind with weakly singular kernel of the form k(x, y) = G(x,y) x α y β ... See full document

... a new stochastic operational matrix for the Legendre wavelets is presented and a general procedure for forming this matrix is ...computational method based on this stochastic operational matrix is proposed ... See full document

... for solving integral equations using Monte Carlo method was proposed by Albert [3], and was later developed ...Carlo method to solve numerical solutions of Fredholm ... See full document

... relatively new semi-analytical technique to approximate the solution of nonlinear multi-order fractional differential equations ...in reproducing kernel Hilbert space ...different ... See full document

... tegral equations with constant delay. In [10], the same method has been applied to the solutions that take values in the set of right-sided fuzzy numbers for a fuzzy Volterra integral equation ... See full document

... expansion-iterative method for nu- merically solving Volterra integral equations of the second ...proposed approach. The results obtained by the proposed method will also ... See full document

... of Volterra integral equations using various ...Galerkin method with Hermite polynomial basis for the numerical solu- tions of Volterra integral equations of the ... See full document

... these equations allowed to reduce them to solving of systems of infinite systems of Volterra integral equations which have no still analytical and numerical research ...for ... See full document

... nonlinear equations, the author discusses the differential equation of the first order, following this by chapters on the Riccati equation (as a bridge between linear and nonlinear equations) and existence ... See full document

... Gámez [15] by Biorthogonal systems and also the solution of (31) founded by J. Biazar and H. Ghazvini with homotopy perturbation method [16]. The results obtained by M.I Berenguer and D. Gámez [15] with j= 9, 17, ... See full document

... direct method to compute numerical solutions of the linear Volterra and Fred- holm integral equations system is ...This approach is based on vector forms of triangular functions and its ... See full document

... The main goal of this article is to solve second-order FVIDEs in the Hilbert space W 2 3 [a, b] ⊕ W 2 .3 [a, b] under the assumption of strongly generalized differentiability. More precisely, we provide a numerical ... See full document

... the Volterra integral equation with a con- volution ...the integral equations to the algebraic equations. The method requires much less computational work compared with ... See full document

... 2009 Solving Singular Second Order Three-Point Boundary Value Problems Using Reproducing Kernel Hilbert Space Method.. 2012 A Numerical Solution to Nonlinear Second Order Three-Point Bou[r] ... See full document

... For solving Volterra-Fredholm integral equations, many methods with enough accuracy and efficiency have been used before by many researches [6, 7, 8, 9, 10, 11, 12, 13, 14, ...of ... See full document

... and integral, by Riemann, Liouville, Grenville, Caputo, and others are presented (see ...a new definition for fractional derivative and integral, called conformable fractional derivative and ... See full document

... a new iterative method for solving nonlinear Volterra Integral Equation of the second kind, by approximating the Legendre polynomial ...worked using property of ... See full document

... differential equations play an impor- tant role in many ...a new algorithm for computing the solutions of singular second-order initial/boundary value problems (IBVPs) of the ... See full document