Computational Methods for a Class of Singular Perturbation Problems

Singular perturbation problems arise in various fields of engineering and science such as fluid dynamics elasticity quantum mechanics electrical networks chemical reactor-theory bio-chemical kinetics gas porous electrodes theory aerodynamics plasma dynamics oceanography diffraction theory reaction- diffusion process and many other areas. If we apply the existing standard numerical methods for solving these problems large oscillations may arise and pollute the solutions in the entire interval because of the boundary layer behavior. Thus more efficient and simpler computational techniques are required to solve singularly perturbed two-point boundary value problems. In this book we have proposed and illustrated some simple and efficient computational methods for solving singularly perturbed two-point boundary value problems singularly perturbed delay differential equations and singularly perturbed singular boundary value problems.