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RK2-4 2010 - RungeRunge-Kutta Method Math Modeling II 2010...

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10/6/2010 Math Modeling 2 (Xin Li) 1 Runge Runge-Kutta Method Kutta Method Math Modeling II 2010 Euler Euler Method Method Euler’s method can be viewed as: First estimate the derivative Then, update value ( ) , n n 1 n n n n y h y y y t f y + = = + Note: 1. We are using only one value of f in estimating the derivative. 2. Runge-Kutta methods are based on the idea that using more values of f (at two, three, or four points) may lead to improvements. Runge Runge-Kutta Methods Kutta Methods Runge-Kutta methods are very popular because they have higher order of convergence. The idea is based on using more values of f to get better The idea is based on using more values of to get better estimate of the updated value. They are single-step methods, as the Euler methods.
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