# adomian decomposition method

### Applications of adomian decomposition method for wave equations

... equations with non-local boundary conditions. If the equations considered have a solution in terms of the series expansion of known function, this powerful method catches the exact solution. Comparison is made ...

13

### Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations

... LADM method is always open for further modifications especially on discre- tizing the Adomian ...lace Adomian decomposition method for finding the solution of nonlinear ...

20

### STUDY OF A ONE-DIMENSIONAL UNSTEADY GAS DYNAMIC PROBLEM BY ADOMIAN DECOMPOSITION METHOD

... the Adomian decom- position method under the exponential initial ...by Adomian decomposition method is con- vergent for a domain of position and ...The decomposition ...

20

### Solving Nonlinear Differential Equations Using Adomian Decomposition Method Through Sagemath

... generate Adomian polynomials for nonlinear terms as presented by ...using Adomian decomposition method for single linear and nonlinear ...

6

### Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations

... that Adomian Decomposition Method is a powerful method to solve nonlinear fractional partial differential ...proposed method, the method is applied to obtain the solutions of ...

6

### The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations

... by Adomian [13] as the first condition of demonstrating a fast convergence of the ...the Adomian decomposition method by dividing the initial approximation into two parts, and distribute these ...

5

### Kamal transform integrated with Adomian decomposition method for solving predator prey systems

... . Adomian decomposition method has been applied to a large class of linear and nonlinear equations that are et ...this method is the ability to solve these equations appropriately and ...

7

### Numerical application of Adomian decomposition method to fifth-order autonomous differential equations

... paper, Adomian Decomposition Method(ADM) is applied to Fifth-Order autonomous differential ...the decomposition method, and the result in series form of only the first six terms were ...

10

### Variational Iteration Method and Adomian Decomposition Method for Fourth Order Fractional Integro Differential Equations

... In this paper, linear and nonlinear boundary value problems for fourth-order fractional integro- differential equations are solved by Variational iteration method (VIM) and Adomian decomposition ...

8

### Solving fractional diffusion equation using variational iteration method and adomian decomposition method

... This research will focus on the algorithm for the methods of variational iteration and Adomian decomposition method. The methods are used to solve fractional diffusion equation. The general equation ...

19

### Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

... applied Adomian Decomposition method with Taylor series and Chebyshev ...the method to the examples with inhomoheneous source terms we can conclude from ...

9

### Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

... applied Adomian Decomposition method with Taylor series and Chebyshev ...the method to the examples with inhomoheneous source terms we can conclude from ...

9

### On the comparison between Picard Iteration Method and Adomian Decomposition Method in solving non linear differential equations

... approximation method used for solving differential equations, are the Picard iteration method and the Adomian decomposition ...iteration method named after a French mathematician ...

12

### Solution of Nonlinear Integro Differential Equations by Two Step Adomian Decomposition Method (TSAM)

... The Adomian decomposition method (ADM) can be used to solve a wide range of problems and usually gets the solution in a series ...two-step Adomian Decomposition Method (TSAM) for ...

8

### Soliton Solutions and Numerical Treatment of the Nonlinear Schrodinger’s Equation Using Modified Adomian Decomposition Method

... the Adomian decomposition method and some of its modification can be adapted in order to be used to the nonlinear ...new method presented in this work has a powerful and easy ...by ...

18

### Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

... Adomian decomposition method (ADM) is a powerful tool which enables us to find solutions in case of linear as well as non-linear ...The method has been successfully applied to a system of ...

10

### Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation

... On comparison of solution of homogeneous part the equation (2)-(3) with that used by Carroll (1951), this is far much simpler for we do not involve transformations which are not easy to identify. Thus Adomian ...

8

### Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind

... Recently, Adomian decomposition method and modified Adomian decomposition method were popular among the researchers who studied integral ...

22

### Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations

... The concept of convergence of the solution obtained by Adomian decomposition method was addressed by [1,18], and extensively by [19,20]. Convergence of the ADM when applied to initial value problem ...

7

### Analytical study of nano-bioconvective flow in a horizontal channel using Adomian decomposition method

... In this paper, the bioconvective nanofluid flow in a horizontal channel was considered. Using the appropriate similarity functions, the partial differential equations of the studied problem resulting from mathematical ...

14