Numerical Solutions of a Generalized Nth Order Boundary Value Problems Using Power Series Approximation Method
| dc.contributor.author | Njoseh, Ignatius N. | |
| dc.contributor.author | Mamadu, Ebimene J. | |
| dc.date.accessioned | 2016-07-21T12:37:32Z | |
| dc.date.available | 2016-07-21T12:37:32Z | |
| dc.date.issued | 2016-07 | |
| dc.description.abstract | In this paper, a new approach called Power Series Approximation Method (PSAM) is developed for the numerical solution of a generalized linear and non-linear higher order Boundary Value Problems (BVPs). The proposed method is efficient and effective on the experimentation on some selected thirteen-order, twelve-order and ten-order boundary value problems as compared with the analytic solutions and other existing methods such as the Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) available in the literature. A convergence analysis of PSAM is also provided. | en_US |
| dc.identifier.uri | http://dx.doi.org/10.4236/am.2016.711107 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/875 | |
| dc.language.iso | en | en_US |
| dc.publisher | Scientific Research Publishing | en_US |
| dc.relation.ispartofseries | Applied Mathematics, 2016, 7, 1215-1224; | |
| dc.subject | Power Series | en_US |
| dc.subject | Linear and Nonlinear Problems | en_US |
| dc.subject | Boundary Value Problem (BVP) | en_US |
| dc.subject | Numerical Simulation | en_US |
| dc.title | Numerical Solutions of a Generalized Nth Order Boundary Value Problems Using Power Series Approximation Method | en_US |
| dc.type | Article | en_US |