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Optimized Four-Step Block Hybrid Scheme with One Off-Grid Point for Direct Integration of First-Order Ordinary Differential Equations |
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PP: 1-9 |
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doi:10.18576/amisl/140101
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Author(s) |
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Mohammed Ibrahim Dibal,
Yeak Su Hoe,
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Abstract |
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| This study proposes a four-step numerical scheme with one off-grid point to improve the order of accuracy by incorporating optimized points into the algorithms formulation. This study explores a four-step hybrid block method designed to solve first-order ordinary differential equations with a constant step size. The method employs interpolation techniques capable of evaluating terms that have not been defined at the grid points. It is shown to be consistent, zero-stable, and convergent. The numerical results obtained are competing with existing methods and performed better. |
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