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ir.bowen.edu.ng:8181/jspui/handle/123456789/1241| Title: | On the Laplace Homotopy Analysis Method for a nonlinear system of second-order boundary value problems |
| Authors: | Ogunlaran, O. M. Ademola, A. T. |
| Keywords: | Homotopy analysis method Laplace transform non linear system of equations Boundary value problems Numerical methods |
| Issue Date: | 2015 |
| Citation: | Ogunlaran, O.M. and Ademola, A.T. (2015). On the Laplace Homotopy Analysis Method for a nonlinear system of second-order boundary value problems. General Mathematics Notes, 26(2), 11-22. |
| Abstract: | In this paper, we present an efficient algorithm for solving system of second order boundary value problems(BVPs) based on a combination of the Laplace transform and homotopy analysis method(HAM). The proposed technique finds the solution without any discretization or any restrictive assumptions. The solution is produces in form of a rapid convergent series. The results of the numerical examples considered show that the proposed method is applicable and efficient. |
| URI: | ir.bowen.edu.ng:8080/jspui/handle/123456789/1241 |
| Appears in Collections: | Articles |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| On the Laplace Homotopy Analysis Method for a nonlinear system of second order boundary value problems.pdf | 228.16 kB | Adobe PDF | View/Open |
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