A new computational algorithm for the solution of second order initial value problems in ordinary differential equations
In this article, we propose a new computational method for second order initial value problems in ordinary differential equations. The algorithm developed is based on a local representation of theoretical solution of the second order initial value problem by a non-linear interpolating function. Nume...
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| Format: | Article |
| Language: | English |
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Sciendo
2018-10-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
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| Online Access: | https://doi.org/10.21042/AMNS.2018.1.00013 |
| Summary: | In this article, we propose a new computational method for second order initial value problems in
ordinary differential equations. The algorithm developed is based on a local representation of theoretical solution of the second order initial value problem by a non-linear interpolating function. Numerical examples are solved to ensure the computational performance of the algorithm for both linear and non-linear initial value problems. From the results we obtained, the algorithm can be said computationally efficient and effective. |
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| ISSN: | 2444-8656 |