... inversion method of the Riemann-sum approximation. Findings During the course of analysis and numerical computations, it is observed that velocity increases from the outer surface of the inner cylinder (R = 1) to the inner surface of the outer cylinder (R = ?) as angular velocity...

... differential equations are transformed into the ordinary differential equations using the Laplace transform technique. The exact solution obtained is inverted from the Laplace domain to time domain using the Riemann-sum approximation approach. Justification of the Riemann-sum approximation approach is achieved...