[PDF] Top 20 Modified Adomian Techniques Applied to Non Linear Volterra Integral Equations

... for integral equations such as implicitly linear collo- cation methods [1], product integration method [2], Her- mite-type collocation method [3] and analytical (semi- analytical) techniques ... See full document

... of integral equations. These equations also occur as reformulations of other mathematical problems such as partial differential equations and ordinary differential ...in applied ... See full document

... nonlinear Volterra-Fredholm integro-differential equations, ...the modified Kdv and the generalized Kdv equations via Exp-function method, ...of adomian method applied to a ... See full document

... solving linear and nonlinear problems in various ...and Adomian Decomposition Method (ADM) ...nonlinear Volterra Integral Equations of the second ... 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 ... See full document

... a Modified Adomian Decomposition method (MADM) was introduced and applied to a reduced Fractional differential ...when applied to fractional differential ... See full document

... It is worth mentioning that up to now only few papers have dealt with the numerical solutions of quadratic inte- gral equations. In [10] El-Sayed et al. concerned with the two methods; Picard method and ... See full document

... a linear or nonlinear function of u(t). Many different techniques have been presented so far for solving (1) such as Adomian's decomposition method, series solution method and successive substitution method ... See full document

... The Volterra integral equations are used in many problems of physics such as, the particle transport problems of astrophysics, potential theory and Dirichle problem, electrostatic and radiative heat ... See full document

... two-dimensional linear and nonlinear integral equations by utilizing different techniques, such as Abdou et ...of linear and nonlinear Hammerstien integral equations with ... See full document

... to linear and nonlinear integral ...these equations “[3]”. Adomian “[1, 2]” has presented and developed a so-called decomposition method for solving algebraic, differential, integro- ... See full document

... the integral equation can be classified into two classes, which are Volterra integral equations and Fredholm integral ...The Volterra integral equations are special ... See full document

... The Adomian decomposition method can handle any kind of linear or non-linear differential ...either linear or non-linear problems of the real world without assumptions on ... See full document

... The Volterra-Fredholm integral equation (V-FIE) arises from parabolic boundary value ...The integral equations appear in many problems of physics and ...The Adomian decomposition method ... See full document

... If we consider the case  i = 0 ( = 0,1,2,..., ) i k , then from (2.5) we get a finite- difference method of type (3). In this case, the system of equations (2.14) consists of one equation and therefore the amount ... See full document

... [8]-[11], integral equations with nonsigular kernels have been ...quadratic Volterra equations with ...quadratic integral equations of arbitrary orders with singular ...quadratic ... See full document

... underlying Volterra integral equations are smooth, then errors obtained by the proposed spectral method decay exponentially which is a desired feature for a spectral ... See full document

... Using product integration techniques, the midpoint, Euler and trapezoidal methods for Volterra integral equation s o f the first kind with continuous kernels and the schemes developed in[r] ... See full document

... The study on problems of type (1.1) is motivated by considering various physical problems associated with the Volterra operator including a problem on the determi- nation of the temperature in a radiating ... See full document

... The theory of stochastic differential equations (SDEs), including SDEs with parameters, is an important topic in stochastic processes. There exists much research work on this topic (see, e.g., [–]). SVIEs, as a ... See full document