The criteria for stability of the FTCS numerical scheme for the heat equation is given by
Question
Solution 1
The stability criteria for the Forward Time Central Space (FTCS) numerical scheme for the heat equation is given by the condition that the Courant number must be less than or equal to 0.5. This is mathematically represented as:
Δt ≤ (Δx)² / (2α)
where:
- Δt is the time step,
- Δx is the spatial st Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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