CFD PROBLEM USE PYTHON TO HELP SOLVE PLS

Consider the first-order linear wave equation (or the convection equation) of the form: This equation can be solved numerically using finite difference technique. For ex ample by using forward difference discretization in time and backward difference discretization in space one can obtain the following equation n+1 At (a) Use Taylor series expansion to find the Truncation Error (TE). Keep terms up to (Ar)2 and at)2 in the Taylor series expansion (b) Determine the order of accuracy for this scheme (c) For the computational domain of 0 x 10, and the convective speed of c = 1, present numeric solution for this equation using the following initial conditions (i) cosine wave (smooth wave) elsewhere (ii) square wave (wave with discontinuities at ends) 1 11? Consider the first-order linear wave equation (or the convection equation) of the form: This equation can be solved numerically using finite difference technique. For ex ample by using forward difference discretization in time and backward difference discretization in space one can obtain the following equation n+1 At (a) Use Taylor series expansion to find the Truncation Error (TE). Keep terms up to (Ar)2 and at)2 in the Taylor series expansion (b) Determine the order of accuracy for this scheme (c) For the computational domain of 0 x 10, and the convective speed of c = 1, present numeric solution for this equation using the following initial conditions (i) cosine wave (smooth wave) elsewhere (ii) square wave (wave with discontinuities at ends) 1 11