The spline difference schemes for a linear singularly perturbed boundary value problem on the meshes of Shishkin and Bakhvalov type are compared. An example of the scheme which produces better results on Shishkin type mesh than on Bakhvalov type mesh is given. This scheme is obtained using a combination of a cubic spline scheme and a central difference scheme. In [5], is shown that the scheme is almost fourth order accurate (uniformly in the perturbation parameter) on the mesh of Shishkin type. Here, a uniform second-order convergence for Bakhvalov type mesh is proved. Numerical results are presented in support of this result.