A new algorithm for calculating Adomian polynomials for nonlinear operators

Authors:
Abdul-Majid Wazwaz
Affiliations:
-
Venue:
Applied Mathematics and Computation
Year:
2000

Citing 0
Cited 44

The decomposition method for ordinary differential equations with discontinuities

Applied Mathematics and Computation
Analytical approximate solutions for nonlinear fractional differential equations

Applied Mathematics and Computation
A reliable treatment for mixed Volterra-Fredholm integral equations

Applied Mathematics and Computation
The modified decomposition method for solving nonlinear algebraic equations

Applied Mathematics and Computation
An alternate algorithm for computing Adomian polynomials in special cases

Applied Mathematics and Computation
Numerical computation of the nonlinear feedback operators for the nonquadratic time-variant optimal control problems

Applied Mathematics and Computation
Variational iteration method for solving Burger's and coupled Burger's equations

Journal of Computational and Applied Mathematics
Adomian decomposition method for solution of differential-algebraic equations

Journal of Computational and Applied Mathematics
A comparison between the Sinc-Galerkin and the modified decomposition methods for solving two-point boundary-value problems

Journal of Computational Physics
A comparison between the variational iteration method and Adomian decomposition method

Journal of Computational and Applied Mathematics
The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations

Journal of Computational and Applied Mathematics
A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials

Journal of Computational and Applied Mathematics
Numerical approach to differential equations of fractional order

Journal of Computational and Applied Mathematics
A new algorithm for the decomposition solution of nonlinear differential equations

Computers & Mathematics with Applications
Numerical simulation of equal-width wave equation

Computers & Mathematics with Applications
The variational iteration method for solving linear and nonlinear systems of PDEs

Computers & Mathematics with Applications
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations

Computers & Mathematics with Applications
The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations

Computers & Mathematics with Applications
The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations

Computers & Mathematics with Applications
Comparison between Adomian's method and He's homotopy perturbation method

Computers & Mathematics with Applications
Numerical implementation of the Adomian decomposition method for nonlinear Volterra integral equations of the second kind

International Journal of Computer Mathematics
A generalization of the Lane-Emden equation

International Journal of Computer Mathematics
A Chebyshev spectral collocation method for solving Burgers'-type equations

Journal of Computational and Applied Mathematics
An innovative eigenvalue problem solver for free vibration of Euler-Bernoulli beam by using the Adomian decomposition method

Computers & Mathematics with Applications
Numerical simulations of the Boussinesq equation by He's variational iteration method

International Journal of Computer Mathematics
Adomian's decomposition method and homotopy perturbation method in solving nonlinear equations

Journal of Computational and Applied Mathematics
Approximate solutions of Emden-Fowler type equations

International Journal of Computer Mathematics
A new technique for solving nonlinear integral-differential equations

Computers & Mathematics with Applications
The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics

Computers & Mathematics with Applications
Adomian decomposition method by Legendre polynomials

ASM '07 The 16th IASTED International Conference on Applied Simulation and Modelling
One-phase inverse stefan problem solved by adomian decomposition method

Computers & Mathematics with Applications
On singular initial value problems

Neural, Parallel & Scientific Computations - Special issue on computational techniques for differential equations will applications
The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method

Computers & Mathematics with Applications
Application of Laplace decomposition method on semi-infinite domain

Numerical Algorithms
Fractional calculus - A new approach to the analysis of generalized fourth-order diffusion-wave equations

Computers & Mathematics with Applications
Analytical treatment of differential equations with fractional coordinate derivatives

Computers & Mathematics with Applications
New recurrence algorithms for the nonclassic Adomian polynomials

Computers & Mathematics with Applications
Numerical comparison of methods for solving fractional differential-algebraic equations (FDAEs)

Computers & Mathematics with Applications
Modifications of Adomian decomposition method for certain classes of singular differential equations of the second order

MMES'11/DEEE'11/COMATIA'11 Proceedings of the 2nd international conference on Mathematical Models for Engineering Science, and proceedings of the 2nd international conference on Development, Energy, Environment, Economics, and proceedings of the 2nd international conference on Communication and Management in Technological Innovation and Academic Globalization
Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms

Computers & Mathematics with Applications
Further developments to the decomposition method for solving singular initial-value problems

Mathematical and Computer Modelling: An International Journal
Application of the Adomian decomposition method for the Fokker-Planck equation

Mathematical and Computer Modelling: An International Journal
Adomian decomposition method with orthogonal polynomials: Legendre polynomials

Mathematical and Computer Modelling: An International Journal
Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.49

Visualization

Abstract