Opanuga, A. A. and Owoloko, E. A. and Agboola, O.O. and Okagbue, H. I. (2017) Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems. In: World Congress on Engineering 2017 , July 5-7, 2017, London, U.K..
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Abstract
This work considers the numerical solution of higher order boundary value problems using Homotopy perturbation method (HPM) and modified Adomian decomposition method (MADM). HPM is applied without any transformation or calculation of Adomian polynomials. The differential equations are transformed into an infinite number of simple problems without necessarily using the perturbation techniques. Two numerical examples are solved to illustrate the method and the results are compared with the exact and MADM solutions. The accuracy and rapid convergence of HPM in handling the equations without calculating Adomian polynomials reveals its advantage over MADM
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Boundary Value Problems, HPM, MADM, Series Solution |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics Faculty of Engineering, Science and Mathematics > School of Engineering Sciences |
| Depositing User: | Mrs Patricia Nwokealisi |
| Date Deposited: | 15 Aug 2017 13:58 |
| Last Modified: | 15 Aug 2017 13:58 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/8651 |
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