Name
Abstract | ||
|---|---|---|
The modified Adomian decomposition method is used to solve the generalized Boussinesq equation. The equation commonly describes the propagation of small amplitude long waves in several physical contents. The analytic solution of the equation is obtained in the form of a convergent series with easily computable components. For comparison purposes, a numerical algorithm, based on Chebyshev polynomials, is developed and simulated. Numerical results show that the modified Adomian decomposition method proves to be more accurate and computationally more efficient than the Galerkin-Chebyshev method. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.amc.2007.02.090 | Applied Mathematics and Computation |
Keywords | Field | DocType |
solitary wave solutions,chebyshev polynomials,decomposition method,singularly perturbed boussinesq equation,numerical simulations,boundary-value problems,boundary value problem,adomian decomposition method,chebyshev polynomial,analytic solution,boussinesq equation,numerical simulation,boundary value problems | Chebyshev polynomials,Boundary value problem,Mathematical optimization,Mathematical analysis,Galerkin method,Adomian decomposition method,Numerical analysis,Partial differential equation,Mathematics,Convergent series,Boussinesq approximation (water waves) | Journal |
Volume | Issue | ISSN |
191 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.41 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohamed Ali Hajji | 1 | 2 | 1.45 |
| Kamel Al-Khaled | 2 | 95 | 16.31 |