On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method
We study higher-order boundary value problems (HOBVP) for higher-order nonlinear differential equation. We make comparison among differential transformation method (DTM), Adomian decomposition method (ADM), and exact solutions. We provide several examples in order to compare our results. We extend a...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
|
| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/724927 |
| Summary: | We study higher-order boundary value problems
(HOBVP) for higher-order nonlinear differential equation. We make comparison
among differential transformation method (DTM), Adomian decomposition
method (ADM), and exact solutions. We provide several examples in
order to compare our results. We extend and prove a theorem for nonlinear
differential equations by using the DTM. The numerical examples show
that the DTM is a good method compared to the ADM since it is effective,
uses less time in computation, easy to implement and achieve high accuracy. In
addition, DTM has many advantages compared to ADM since the calculation of
Adomian polynomial is tedious. From the numerical results, DTM is suitable
to apply for nonlinear problems. |
|---|---|
| ISSN: | 1024-123X 1563-5147 |