“…They are used to describe a large number of physical, biological and chemical phenomena. BVP (1.1) is often referred to as the deformation of an elastic beam under a variety of boundary conditions(see [3,6,10,11,12,13]. For example, as λ = 1, BVP (1.1) subject to Lidstone boundary value conditions u(0) = u(1) = u (0) = u (1) = 0 are used to model such phenomena as the deflection of elastic beam simply supported at the endpoints, see [1,2,4,6,7,8,9,10,13].…”