[PDF] Top 20 The Legendre Wavelet Method for Solving Singular Integro-differential Equations

... Applications in many important fields, like fracture mechanics [5], elastic contact problems [1], the theory of porous filtering [4] and combined infrared radiation and molecular conduction [3], contain integral and ... See full document

... Euler wavelet and derive the wavelet operational matrix of the fractional integration, and we use it to solve the fractional integro-differential equa- ...By solving the nonlinear system, ... See full document

... the Legendre wavelets have been extended to fractional order linear and nonlinear integro-differential equations ...generalized Legendre wavelets operational matrix of integration and ... See full document

... CAS wavelet method, the differential transform method (DTM), and the Adomian decomposition method ...VIM method, the VIM gives better ... See full document

... fractional equations, including fractional differential transform method [18], Adomian’s decomposition method [19, 20], homotopy analysis method [21, 22], wavelet method [23–26], ... See full document

... for integro-differential system and then we solve it by using the Petrov-Galerkin ...Petrov-Galerkin method choosing the trial and test space is important, so we use Alpert multi-wavelet as ... See full document

... for solving linear and nonlinear mathematical, engineering and physical problems, many of the numerical methods are used for seeking approximate solutions such as Collocation method, Taylor expansion ... See full document

... - Wavelet collocation method for numerical solution nth order Volterra integro diferential equations (VIDE) by expanding the unknown functions, as series in terms of chebyshev wavelets second ... See full document

... and integro-differential equations play an im- portant role in characterizing many social, biological, physical and engineering problems; for more details see [1-3] and references cited ...and ... See full document

... by integro-differential equations, the nu- merical solutions of such integro-differential equations have been highly studied by many authors ...for integro-differential equations ... See full document

... of Legendre wavelets method (LWM), for the resolution of variational problems, by Rezzaghi and Yousefi in 2000 and 2001 [5, 7], several works applying this method were ...of differential ... See full document

... on Wavelet Galerkin method, especially, Legendre Wavelet Galerkin technique and DG ap- proach for solving partial differential equations (PDEs) because these methods are ... See full document

... and integro-differential equation is one of the important topics in applied mathematics and also found its applications in various fields of science and ...and integro-differential ... See full document

... Summary This study presents a numerical method for solving a class of singular integro-differential equations of the second kind that contain derivatives of the states at previous certai[r] ... See full document

... f (x) = 3(x − 1)(x − x 2 ) + x 2 (1 − 2x) − 4 1 x 4 + 1 3 (x + 1))x 3 − 1 2 (1/2)x 3 . Comparison of absolute errors between CAS wavelet method [3] and the proposed method for N = 7 is shown in Table ... See full document

... It follows that if the equation (31) has a unique solution ζ n (t) in the subspace [R n ] m , then the equality y n (t) = x n (t) is true. Therefore x n (t) has been uniquely determined. The discrete system of equation ... See full document

... 6 1969, 365-374 [8] NA, T.Y., Computanonal Methods in Engineering Boundary Value Problems, Academic Press, New York 1979 [9] SHAW, R.E and GAREY, L.E., Monotonic approximations for nonli[r] ... See full document

... for solving sec- ond order fuzzy differential equations (FDE) with fuzzy initial value under strongly generalized H- differentiability is ...fuzzy differential equation satisfy the Lipschitz ... See full document

... Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential equations of the first order.. These methods take a total solution.[r] ... See full document

... In this section, we will study the convergence analysis as the same manner in [12] of the LADM applied to the nonlinear Volterra-Fredholm integro differential equations. Let us con- sider the Hilbert ... See full document