Computational Physics, Physics, Heat Equation, Python, Math.
time 0, later we see how it evolves. Two boundary conditions are needed as well for solving the equation, where the boundaries will be fixed over time. 𝑢(0,𝑡)=𝑢₁(𝑡), which is the left boundary and 𝑢(𝐿,𝑡)=𝑢₂(𝑡) for the right boundary. The boundary conditions are functions of time, which means they