The criteria for stability of the FTCS numerical scheme for the heat equation is given by

Question

The criteria for stability of the FTCS numerical scheme for the heat equation is given by
🧐 Not the exact question you are looking for?Go ask a 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 StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

The criteria for stability of the FTCS numerical scheme for the heat equation is given by:

The criteria for stability of the FTCS numerical scheme for the heat equation is given by

The FTCS scheme for heat equation isQuestion 24Answera.conditionally convergentb. always convergentc.divergent

The FTCS scheme for transport equation isQuestion 16Answera.unstableb. stablec.None of these

Crank-Nicolson scheme for heat equation isQuestion 7Answera.None of theseb.consistent and stablec. consistent and unstable

1/3