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2 cards from this section. Quick, good the night before a test.
Define the term 'Ordinary Differential Equation'.
Think about what the term 'ordinary' implies compared to other types of differential equations.
What is the primary function of the Predictor Formula?
What does 'predict' suggest?
What is the purpose of the Predictor Formula in Milne's method?
What does 'predict' relate to in terms of future values?
True or False: The Corrector Formula is an explicit method.
Recall how the Corrector refines the estimates.
Given the ODE dy/dx = 2x + 3y, compute the values for y(0.1) up to y(0.5) using Milne's method with h=0.1 after obtaining initial values from another method.
Ensure to derive initial values using a reliable method before applying Milne’s calculation.
Critique the effectiveness of Milne’s method compared to a Runge-Kutta method in solving stiff equations.
What makes one method better suited for stiff equations than the other?
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