Name
Title | ||
|---|---|---|
An analytical approach for solving nonlinear boundary value problems in finite domains |
Abstract | ||
|---|---|---|
Based on the homotopy analysis method (HAM), a general analytical approach for obtaining approximate series solutions to nonlinear two-point boundary value problems in finite domains is proposed. To demonstrate its effectiveness, this approach is applied to solve three nonlinear problems, and the analytical solutions obtained are more accurate than the numerical solutions obtained via the shooting method and the sinc-Galerkin method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s11075-010-9375-z | Numerical Algorithms |
Keywords | Field | DocType |
Boundary value problem,Series solution,Homotopy analysis method,Symbolic computation,Analytical solution | Boundary knot method,Boundary value problem,Mathematical optimization,Shooting method,Mathematical analysis,Finite element method,Method of fundamental solutions,Singular boundary method,Homotopy analysis method,Mathematics,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
56 | 1 | 1017-1398 |
Citations | PageRank | References |
2 | 0.44 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Songxin Liang | 1 | 21 | 5.09 |
| David J. Jeffrey | 2 | 1172 | 132.12 |