In this thesis, accelerated finite difference method for solving singularly perturbed boundary value problems with two small parameters is presented. First, the solution domain is discretized. Then, the derivatives in ...

In this thesis, we consider singularly perturbed differential equation containing delay parameter on the convection and reaction terms. The considered problem exhibits left or right boundary layer, depending on the sign ...

In this paper, a domain decomposition method for solving singularly perturbed two-point boundary value problems is presented. By using a terminal point, the original problem is divided into inner and outer region problems. ...

A fitted modified upwind finite difference method is presented for solving singularly perturbed boundary value problems with delay δ and advance η parameters that are sufficiently small. The second order singularly ...

A fitted-stable central difference method is presented for solving singularly perturbed two point boundary value problems with the boundary layer at one end (left or right) of the interval. A fitting factor is introduced ...

In this paper, a non-asymptotic method is presented for solving singularly perturbed delay differential equations whose solution exhibits a boundary layer behavior. The second order singularly perturbed delay differential ...

In this paper, the sixth-order compact finite difference method is presented for solving singularly perturbed 1D reaction–diffusion problems. The derivative of the given differential equation is replaced by finite difference ...