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lecture 20 - CE 30125 Lecture 20 LECTURE 20 SOLUTION TO...

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CE 30125 - Lecture 20 p. 20.1 LECTURE 20 SOLUTION TO SINGLE 1ST ORDER INITIAL VALUE PROBLEMS (IVP’s) • Solve i.c. Consider two classes of methods: • Runge-Kutta type formulae • single step methods • very simple to program • self starting (only need i.c.’s) • Multi-step formulae • Multi-step methods are much more efficient than single step methods (for the same accuracy) • Multi-step methods are not self starting use single step method to start up and then go over to multi-step dy dt ----- f y t = y t o y o =
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