The double exponential Sinc collocation method for solving a model of squeezing flow problem

The double exponential Sinc collocation method for solving a model of squeezing flow problem

In this paper, we introduce a method based on the Double Exponential (DE) Transfor- mation combined with the Sinc collocation method for solving a fourth-order nonlinear boundary value problem arising in Fluid Mechanics. By this method a convergence rate O (exp (􀀀kn= log n)) with some k > 0 is achieved, where n is a parameter representing the number of terms in the Sinc expansion. Numerical examples are included to demonstrate the validity and eciency of the technique and a comparison is made with exicting results in the literature