Exact solutions to nonlinear diffusion equations obtained by the decomposition method

Applied Mathematics and Computation

Volumn 123, Issue 1, 2001, Pages 109-122

  Wazwaz, Abdul Majid ^a  

^a SAINT XAVIER UNIVERSITY   (United States)

Author keywords

Adomian decomposition method; Adomian polynomials; Nonlinear diffusion; Power law diffusivity; Steady state solution

Indexed keywords

COMPUTATIONAL COMPLEXITY; POLYNOMIALS; THEOREM PROVING;

ADOMAIN DECOMPOSITION METHOD; ADOMAIN POLYNOMIALS; NONLINEAR DIFFUSION EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0035840358     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(00)00064-3     Document Type: Article

References (16)

1. The non-classical solution of the inhomogeneous non-linear diffusion equation
2. New classes of similarity solutions of the inhomogeneous nonlinear diffusion equations
3. Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
4. Exact results for the nonlinear diffusion equations
5. A review of the decomposition method in applied mathematics
6. On the solution of partial differential equations with specified boundary conditions
7. The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
8. A new algorithm for calculating Adomian polynomials for nonlinear polynomials
9. New results for convergence of Adomian's method applied to integral equations