Differential Equations and Numerical Analysis

Part I. Invited Papers

1. Elementary Tutorial on Numerical Methods for Singular Perturbation Problems
John J. H. Miller

2. Interior Layers in Singularly Perturbed Problems
Eugene O’Riordan

3. Singularly Perturbed Delay Differential Equations and Numerical Methods
Ramanujam Narasimhan

4. Initial or Boundary Value Problems for Systems of Singularly Perturbed Differential Equations and Their Solution Profile
Valarmathi Sigamani

Part II. Contributed Papers

5. Convergence of the Crank-Nicolson Method for a Singularly Perturbed Parabolic Reaction-Diffusion System
Franklin Victor, John J. H. Miller, Valarmathi Sigamani

6. A Numerical Method for a System of Singularly Perturbed Differential Equations of Reaction-Diffusion Type with Negative Shift
P. Avudai Selvi, Ramanujam Narasimhan

7. Numerical Method for a Singularly Perturbed Boundary Value Problem for a Linear Parabolic Second Order Delay Differential Equation
Parthiban Swaminathan, Valarmathi Sigamani, Franklin Victor

8. A Parameter Uniform Numerical Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations with Discontinuous Source Terms
Nagarajan Shivaranjani, John J. H. Miller, Valarmathi Sigamani

9. A Parameter-Uniform First Order Convergent Numerical Method for a Semi-linear System of Singularly Perturbed Second Order Delay Differential Equations
Mariappan Manikandan, John J. H. Miller, Valarmathi Sigamani

Keywords: Mathematics, Ordinary Differential Equations, Partial Differential Equations, Applications of Mathematics, Computational Science and Engineering, Numerical Analysis