Find the velocity component, in the direction parallel to the surface, by integrating the discrete vorticity values, obtained in Problem 8.2, in the normal direction

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Find the velocity component, in the direction parallel to the surface, by integrating the discrete vorticity values, obtained in Problem 8.2, in the normal direction starting from the wall.

Problem 8.2

Obtain a pseudo tri-diagonal matrix equation to solve the vorticity transport equation in a boundary layer with forward differencing in time and with appropriate differencing in space suitable for marching along the surface starting from the leading edge. Write a subprogram first for the solution of pseudo tri-diagonal matrix solution.