The governing differential equation is the 1-D heat equation: ∂T/∂t = α(∂²T/∂x²) Using the explicit and implicit methods,

Question

The governing differential equation is the 1-D heat equation:
∂T/∂t = α(∂²T/∂x²)
Using the explicit and implicit methods, determine the finite difference approximations of the differential equation of 1-D heat equation using the forward finite difference for time and the central finite difference for position and discuss the stability condition for the two methods.

Kunduz · Accepted Answer

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