[PDF] Top 20 Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations

... HE Sine Gordon equation is one of the most important equations in partial differential equations because of its applications in applied ... See full document

... KdV equations by Elzaki transform method (ETM) and Adomian Polynomial is obtained in this ...This method gives the solutions as an approximate analytical solutions in ... See full document

... spectral method to a greater number of subdomains by a divi- sion of ...element method by combining the spectral method and the finite element method ...innovative method, Patera uses ... See full document

... the Adomian decomposition method (ADM), ...perturbation transform method ( HPTM) these types of equation tool [7], furthermore, ...for solving nonlin- ear heat and wave-like equation by ... See full document

... iterative method (NIM) and a coupling of the Sumudu transform and Adomian decomposition method (STADM) are successfully applied for solving nonlinear time-fractional gas dynamics ...for ... See full document

... wavelet transform are recently devel- oped mathematical tool for solving the linear and non-linear ordinary differential equa- tions, partial differential equations and integral ...spectral ... See full document

... a polynomial function in u or any other ...becomes sine-Gordon equation, which could also be sinh-Gordon equation, double sinh- Gordon equation depending on the form of ... See full document

... Iteration Transform Method is applied to Linear and Nonlinear Klein-Gordon Equations for the first ...differential equations. It is important to note that the method is capable ... See full document

... the equations though requires the use of numerical and analytical methods in most ...Fourier transform method [1], the frac- tional Green function method [2], the popular Laplace ... See full document

... perturbation method (HPM) and Elzaki transform is employed to obtain the approximate analytical solution of the Sine Gorden and the Klein Gorden ...perturbation method. The proposed ... See full document

... Nonlinear Fredhom integral equation of the second kind is important and appear in many applications in scientific fields, such as fluid dynamics, solid state physics, nonlinear phenomena, geophysics, plasma physics, ... See full document

... ADM is very acceptable method to solve FFDE. The aim of this paper is to technique of findings the numerical solution of some liner fractional differential equation with initial fuzzy value using ADM. Here the ... See full document

... collocation method [3], Taylor collection method [4], rationalized Haar func- tions method [5], Galerkin methods with hybrid functions [6], and Adomian Decomposition Method (ADM) ... See full document

... Sumudu transform method (HPSTM) to solve li- near and nonlinear fractional Klein-Gordon ...the method, some examples are ...sumudu transform method, the pre- sented work showed ... See full document

... (24) Using some trigonometric identities and simplifications, we equate the coefficients of powers of multiplications of cos and sin functions and the constants to zero. Thus, we find a system of algebraic ... See full document

... The rest of the paper is organized as follows: In next section, we implement the stochastic Adomian decomposition method (SADM) for the problem (1.1). In Section 3, we show convergence of the SADM for a ... See full document

... Adomian decomposition method have been used to solve nonlinear ordinary and partial differential equations and integral equations arise in Physics, Biology and various fields of Engineering ... See full document

... The main advantage of the proposed DADM is that the matrix B is unchanged during the computation of com- ponents and the computation of the solution need not to solve linear algebraic system of equations like ... See full document

... Laplace transform- differential transform method for solving linear non-homogeneous partial differential equations”,Journal Of Mathematics Computer science, 2(2012), ... See full document

... for solving non-linear differential equations is ...iteration method and Adomian decomposition method in solving non-linear differential ... See full document