Non-standard Finite Difference Method for Self-adjoint Singular Perturbation Problems

2019 ◽  
pp. 328-331 ◽  
Author(s):  
Jean M.-S. Lubuma ◽  
Kailash C. Patidar
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Singular Perturbation ◽  
Difference Method ◽  
Singular Perturbation Problems ◽  
Perturbation Problems

scholarly journals Higher order schemes and Richardson extrapolation for singular perturbation problems

1989 ◽  
Vol 39 (1) ◽  
pp. 129-139 ◽  
Author(s):  
Dragoslav Herceg ◽  
Relja Vulanović ◽  
Nenad Petrović
Keyword(s):  
Finite Difference ◽  
Singular Perturbation ◽  
Fourth Order ◽  
Richardson Extrapolation ◽  
Higher Order ◽  
Difference Schemes ◽  
Singular Perturbation Problems ◽  
Finite Difference Schemes ◽  
Perturbation Problems ◽  
Uniform Accuracy

Semilinear singular perturbation problems are solved numerically by using finite–difference schemes on non-equidistant meshes which are dense in the layers. The fourth order uniform accuracy of the Hermitian approximation is improved by the Richardson extrapolation.

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