[PDF] Top 20 wavelet collocation method for solving integro-differential equation.

... Basic wavelet theory is a natural ...engineering, wavelet theory shows students that mathematics research is still thriving, with important applications in areas such as image compression and the numerical ... See full document

... In recent years, many different orthogonal functions and polynomials have been used to approximate the solution of various functional equations. The main goal of using or- thogonal basis is that the equation under ... See full document

... with collocation technique may be used to replace problem (1)–(2) by an explicit system of linear algebraic ...proposed method, concluding remarks are given in the last ... See full document

... decomposition method (ADM) and Taylor expansion method (TEM) for solving (approximately) a class of fractional integro-differential ... See full document

... This method is applied to solve a nonlinear order ordinary or partial differential equa- tion in N-dimensions as a limit of a sequence of linear differential ...the method is based on the fact ... See full document

... effective method for solving partial differential equation and examines a family of wavelet-Galerkin approximation to the Neumann and mixed boundary value problem, using compactly ... See full document

... spline collocation method for general Volterra integro-differential equation is being ...new method are given and the efficiency of the new method is illustrated by ...spline ... See full document

... of differential and integral ...ordinary differential equations. In first method Chen and Hsiao [3, 4] introduced the concept of operational matrix for integrating ...second method Lepik ... See full document

... By taking the inverse of fuzzy Laplace transformation on both sides of above relations we can easily obtain the value of u t   ;  and u t   ;  where 0    1 . Example 3.1: To solve the following Fuzzy Volterra ... See full document

... Tau method has introduced an approximate solution of integro-differential ...difference method is given for solving second order integro-differential equation with ... See full document

... pantograph equation is a kind of delay differential equation which is used different fields of pure and applied mathematics such as number theory, dynamical systems, probability, quantum mechanics ... See full document

... and integro-differential ...the method has some major advantages: Chebyshev coefficients of the solution are found very easily and this process is very ...the method obtained analytical ... See full document

... integral equation, is a known analytic function, and are linear and nonlinear functions of ...the equation (1) turn out to be a classical Fredholm integro- differential ...Fredholm ... See full document

... The method is based upon Euler wavelet ...Euler wavelet is first presented and an operational matrix of fractional-order integration is ...fractional integro-differential equations are reduced ... See full document

... Nonlinear problems play a crucial role in applied mathematics and physics. In maximum of the cases these nonlinear problems are tackled by the methods which propose to linearize the given nonlinear problem. Such approach ... See full document

... the Collocation Method with the help of shifted Chebyshev polynomials and shifted Legendre polynomials for the numerical solution of nonlinear fractional integro-differential equations ...The ... See full document

... In the present article, we are concerned with the application of Legendre wavelets to find the approximate solution of Eq. (1.1). The Legendre wavelet method (LWM) consists of reducing the given integral ... See full document

... The rest of the paper is organized as follows. In section 2, a detailed description about the cubic B-Splines is explained. In section 3, a numerical scheme for solving the problem (1.1)-(1.3) is discussed. The ... See full document

... fractional differential of cubic B-spline scaling functions and wavelets for solving fractional integro- differential ...proposed method is applied to several ... See full document

... Fredholm integro-differential equation to an equivalent Fredholm integral ...the integro- differential equation as many times as the order of the derivative involved in the ... See full document