14. - Numerical Solutions of ODEs
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define the term 'Ordinary Differential Equation'.
💡 Hint: Think about what the term 'ordinary' implies compared to other types of differential equations.
What is the primary function of the Predictor Formula?
💡 Hint: What does 'predict' suggest?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of the Predictor Formula in Milne's method?
💡 Hint: What does 'predict' relate to in terms of future values?
True or False: The Corrector Formula is an explicit method.
💡 Hint: Recall how the Corrector refines the estimates.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: 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.
💡 Hint: What makes one method better suited for stiff equations than the other?
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.