Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions

A comparative study on numerical methods for Singularly Perturbed Boundary Turning Point Problems (SPBTPPs) featuring discontinuous source terms are examined. The study involves developing and analyzing two specific numerical techniques: the finite difference method and a hybrid difference method incorporating a Shishkin-type mesh. This approach demonstrates notable capabilities, exhibiting almost first-order and second-order convergence for the finite difference and hybrid difference methods, respectively. Numerical results are given  to support the theoretical findings.

کلیدواژه ها:

Boundary turning point problem ، interior and boundary layer ، finite and hybrid difference methods ، piecewise uniform mesh