Engineering, 02.03.2020 21:58 xxxanitaxxx

Linear algebraic equations can arise in the solution of differential equations. For example, the following differential equation results from a steady-state mass balance for a chemical in a one-dimensional canal:

0=D(((d^2)c)/(dx^2))-U((dc)/(dx ))-k*c

Where c=concentration, t=time, x=distance, D=diffusion coefficient, U=fluid velocity, and k=a first-order decay rate. Convert this differential equation to an equivalent system of simulations algebraic equations. Given D=2, U=1, k=0.2, c(0)=80 and c(10)=10, solve these equations from x=0 to 10 and develop a plot of concentration versus distance.

How do you transform the differential equation into a system into linear equations?

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Linear algebraic equations can arise in the solution of differential equations. For example, the fol...