Comparison of Block Methods with Different Step-Lengths for Solving Second Order Ordinary Differential Equations
This article considers the derivation and comparison of block methods with various step-lengths for solving second order initial value problems.The methods were developed via interpolation and collocation approach where a power series was employed as the interpolation equation.The developed methods...
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| Main Authors: | , |
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| Format: | Article |
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American Scientific Publishers
2018
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| Subjects: | |
| Online Access: | http://repo.uum.edu.my/24383/ http://doi.org/10.1166/jctn.2018.7184 |
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| Summary: | This article considers the derivation and comparison of block methods with various step-lengths for solving second order initial value problems.The methods were developed via interpolation and collocation approach where a power series was employed as the interpolation equation.The developed methods using different step-lengths were applied to solve second order ordinary differential equations and the numerical solutions were then compared.In general, the results suggested that the higher step-length used, the better accuracy achieved.Further comparison with the existing methods also revealed that these block methods produced better accuracy when solving the same problems. |
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