Euler's method is applied to the initial value problem dy/dx = lambda y; y(0) = 1, lambda < 0. Then, the method is stable (absolutely) for step size h that satisfies:

Q57Section I (Objective (Q1–Q80))57 of 80

Numerical Analysis — absolute stability condition for Euler's method

Euler's method is applied to the initial value problem $\frac{dy}{dx} = \lambda y$ ; $y(0) = 1$ , $\lambda < 0$ . Then, the method is stable (absolutely) for step size h that satisfies:

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

Keyboard: A–D answer · S solution · ←/→ previous/next