A flow in a trough: An integral equations formulation

Abstract

The problem of fluid flow in an open trough driven by the base moving horizontally along its plane, was considered in [2, 3]. The approach used was based on finite difference technique which takes a lot of memory. This paper reformulates the problem in terms of integral equations and the resulting equations solved numerically. The integral reformulation is desirable as it uses less computer memory and is expected to give more accurate result as numerical integration is a more stable process than differentiation process.

Journal of the Nigerian Association of Mathematical Physics, Volume 15 (November, 2009), pp 137 - 146