rk3
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| - | ====== rk3 ====== | ||
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| - | Explicit fixed-step solver of third order. The method was proposed by Przemyslaw Bogacki and Lawrence F. Shampine in 1989. The Bogacki–Shampine method is a Runge–Kutta method of order three with four stages with the First Same As Last (FSAL) property, so that it uses approximately three function evaluations per step. | ||
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| - | Low-order methods are more suitable than higher-order methods like the Dormand–Prince method of order five, if only a crude approximation to the solution is required. Bogacki and Shampine argue that their method outperforms other third-order methods with an embedded method of order two. | ||
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| - | The [[Butcher_tableau|Butcher tableau]] for the Bogacki–Shampine method is: | ||
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| - | 0 | ||
| - | 1/2 | ||
| - | 1/2 | ||
| - | 3/4 | ||
| - | 0 | ||
| - | 3/4 | ||
| - | 2/9 | ||
| - | 1/3 | ||
| - | 4/9 | ||
| - | Applicable [[Solver_settings|solver settings]]: | ||
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| - | * Fixed-step size | ||
| - | * Limit data points to last | ||
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| - | ===== Reference ===== | ||
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| - | * http:// | ||
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rk3.1678449071.txt.gz · Last modified: 2023/03/10 12:51 by daria
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