演講訊息 TALKS

Abstract: I will introduce some new results on the multiple solutions of a singular nonlinear boundary value problem, which arises in a study of the laminar flow in a porous pipe with an expanding or contracting wall. For the singular nonlinear BVP, the correct boundary conditions are derived to guarantee that its linearization has a unique smooth solution. Then a numerical technique is proposed to find all possible multiple solutions. The numerical technique designed is reliable, and may be further applied to solve a variety of nonlinear equations that arise from other flow problems.