[PDF] Top 20 The Successive Approximation Method for Solving Nonlinear Fredholm Integral Equation of the Second Kind Using Maple

... the successive ap- proximation method used by using the Maple algorithm by applying this algo- rithm to different examples, including finding the approximate solution and then comparing it to ... See full document

... collocation method to solve nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by ... See full document

... 19, 20, 21, 22, 23]. In [16] the HAM has been used for solving linear integral equations of the second kind. The paper is organized as follows. In Sec- tion 2, the HAM is briefly presented. In ... See full document

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

... Ahmad Jafarian was born in 1978 in Tehran, Iran. He received B. Sc (1997) in Applied mathematics and M.Sc. in applied mathemat- ics from Islamic Azad University Lahi-jan Branh to Lahijan, Fer- dowsi University of Mashhad ... See full document

... spectral method for solving the variational ...fractional nonlinear Fredholm integro-differential ...for solving Abel’s integral ...wavelet method for fractional order ... See full document

... solve nonlinear FIE as mentioned in the previous section but these analytical solution methods are not easy to use and require tedious ...and nonlinear Fredholm integral equations many ... See full document

... computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated ... See full document

... decomposition method has been used for solving the Volterra integral equation of the second ...decomposition method to solving the Fredholm integral ... See full document

... of nonlinear integral equa- tions ...computation method, the modified Adomian method, the successive approximations method, and the series solution method, see Waswas ... See full document

... [2]. B.Bede,S.G. Gal, Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems 151(2005) 581-599. [3]. H.C. Wu, The improper ... See full document

... the method described in equation of (16) for solving some example from various ...this method some advantage for example, we dont need to solv- ing any nonlinear numerical ... See full document

... In the section, we have solved two problems about Fredholm integral equation of second kind. For the numerical problem, the analytical solution y1has been known in advance, therefore we ... See full document

... for solving applied problems in various fields of ...of integral equations appear in scientific applications in engineering, chemistry, physics and populations growth ...of integral equations have ... See full document

... the integral equation. The present method reduces an integral equation into a set of algebraic ...results, using the greater N is ... See full document

... Elliott and Pr¨ ossdorf (1995) introduce a transformation of [0,1] onto itself such that an arbitrary number of derivatives vanish at the end points 0 and 1. If the transformed kernel is dominated near the origin by a ... See full document

... element method to solve a linear Fredholm integral equation of the first ...semi-analytical method called the optimal homotopy asymptotic method (OHAM) for solving the ... 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

... for solving diffusion equations with different formulae of the discretization to time ...Fourier method for analyzing the stability and convergence of an implicit difference approximation with the ... See full document

... This equation has appeared in both combined infrared gaseous radiations and molecular conduction, where  , in (3.7), is known as the radiation conduction number for the large path length limit, and represents the ... See full document