Name
Abstract | ||
|---|---|---|
In this paper, the homotopy analysis method (HAM) is applied to obtain series solutions to linear and nonlinear systems of first- and second-order partial differential equations (PDEs). The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of series solutions. It is shown in particular that the solutions obtained by the variational iteration method (VIM) are only special cases of the HAM solutions. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.camwa.2007.11.022 | Computers & Mathematics with Applications |
Keywords | DocType | Volume |
convergence region,special case,homotopy analysis method,ham solution,systems of pdes,series solution,second-order partial differential equation,variational iteration method,adomian decomposition method,auxiliary parameter,nonlinear system,approximate analytical solution,nonlinear systems,second order,analytic solution,partial differential equation | Journal | 55 |
Issue | ISSN | Citations |
12 | Computers and Mathematics with Applications | 4 |
PageRank | References | Authors |
0.67 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Sami Bataineh | 1 | 5 | 1.08 |
| M. S. M. Noorani | 2 | 44 | 7.24 |
| Ishak Hashim | 3 | 75 | 16.70 |