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Consider the method Yk+1 = Yk + h [af(yk) + 3f(yk+1)] dy =f(y). Find constants dx for numerically solving autonomous differential equations a, 3ER
Consider the method Yk+1 = Yk + h [af(yk) + 3f(yk+1)] dy =f(y). Find constants dx for numerically solving autonomous differential equations a, 3ER that yield the smallest local truncation error. You may assume boundedness of f's derivatives.
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see the solution below page 1 dy y sinty 2 y o 0 Y 0 YU 0 interval o2 ...
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Modeling the Dynamics of Life Calculus and Probability for Life Scientists
Authors: Frederick R. Adler
3rd edition
840064187, 978-1285225975, 128522597X, 978-0840064189
