| Autor: |
Mansor, Kamarun H., Adeyeye, Oluwaseun, Omar, Zurni |
| Zdroj: |
Mathematical Modelling of Engineering Problems; Apr2023, Vol. 10 Issue 2, p433-441, 9p |
| Abstrakt: |
This article develops a new two-step hybrid block method for the numerical solution of second order initial value problems with better accuracy. Two off-step points are introduced in generalized form and the resulting block method is developed using interpolation approach with interpolation points at one on-step point and one off-step point. The hybrid points are given in a generalized form to give room for flexibility of the choice of hybrid points which will give more information on which points produces the best solutions. The resultant order seven block method obtained satisfied all basic properties such as order, zero stability, consistency and convergence and produces better accuracy than existing numerical methods for solving second-order initial value problems. Thus, justifying the adoptability of the new block method for solving second-order initial value problems. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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