Question: Consider the 1-dimensional heat equation with a source term (f(x, t)) a2u = a- + f(x, t). at a.x2 (1) Discretize the equation using forward-difference

Consider the 1-dimensional heat equation with a source term (f(x, t))

Consider the 1-dimensional heat equation with a source term (f(x, t)) a2u = a- + f(x, t). at a.x2 (1) Discretize the equation using forward-difference in time and central difference in space. Determine the order of convergence and the stability condition for the scheme obtained. Comment on the convergence of the scheme. Consider the 1-dimensional heat equation with a source term (f(x, t)) a2u = a- + f(x, t). at a.x2 (1) Discretize the equation using forward-difference in time and central difference in space. Determine the order of convergence and the stability condition for the scheme obtained. Comment on the convergence of the scheme

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