scholarly journals A Numerical Method for Singularly Perturbed Second Order Coupled System of Convection–Diffusion Robin Type Boundary Value Problems with Discontinuous Source Term

2014 ◽  
Vol 1 (3) ◽  
pp. 381-397 ◽  
Author(s):  
P. Mahabub Basha ◽  
V. Shanthi
Keyword(s):  
Boundary Value Problems ◽  
Numerical Method ◽  
Source Term ◽  
Boundary Value ◽  
Coupled System ◽  
Second Order ◽  
Singularly Perturbed ◽  
Convection Diffusion ◽  
Discontinuous Source Term ◽  
Type Boundary

scholarly journals UNIFORMLY-CONVERGENT NUMERICAL METHODS FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION–DIFFUSION EQUATIONS WITH MIXED TYPE BOUNDARY CONDITIONS

2013 ◽  
Vol 18 (5) ◽  
pp. 557-598 ◽  
Author(s):  
Rajarammohanroy Mythili Priyadharshini ◽  
Narashimhan Ramanujam
Keyword(s):  
Boundary Conditions ◽  
Mixed Type ◽  
Coupled System ◽  
Second Order ◽  
Singularly Perturbed ◽  
Supremum Norm ◽  
Convection Diffusion ◽  
Weakly Coupled System ◽  
Type Boundary ◽  
Second Order Convergence

In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection - diffusion second order ordinary differential equations subject to the mixed type boundary conditions. We prove that the method has almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and also the numerical derivative are established. Numerical results are provided to illustrate the theoretical results.

Sign in / Sign up

Export Citation Format

Share Document