Numerical study of self-adjoint singularly perturbed two-point boundary value problems using collocation method with error estimation

A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications. The method is found to have a truncation error of O(h6) and converges to the exact solution at O(h4). The numerical examples show that our method is very effective and the maximum absolute error is acceptable.