A boundary layer analysis is presented for the fluid flow and heat transfer characteristics of an incompressible micropolar fluid flowing over a plane moving surface in parallel or in reverse to the free stream. The isothermal boundary condition has been treated in this paper. The resulting system of non-linear ordinary differential equations is solved by the multi-stage continuous Runge-Kutta method with shooting techniques. Numerical results are obtained for the velocity, angular velocity and temperature distributions. The results indicate that micropolar fluids display drag reduction and heat transfer reduction characteristics.

In this paper, a finite Chebyshev expansion is developed to solve Volterra integral equations with logarithmic singularities in their kernels. The error analysis is derived. Numerical results are given showing a marked improvement in comparison with the piecewise polynomial collocation method given in literature.Keywords Volterra integral equations · Integral equations with logarithmic kernels · Chebyshev polynomials · Error analysis and numerical approximation of solutions

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