A singularly perturbed convection diffusion equation with boundary turning point is considered in this paper. A higher order method on piecewise uniform Shishkin mesh is suggested to solve this problem. We prove that this method is of order $O(N^{-2}(\ln N)^2)$. Numerical results are given which validate the analytical results.
Jayalakshmi, G. J., & Tamilselvan, A. (2021). Second order difference scheme for singularly perturbed boundary turning point problems. Journal of Mathematical Modeling, 9(4), 633-643. doi: 10.22124/jmm.2021.18771.1606
MLA
Govindarajan Janani Jayalakshmi; Ayyadurai Tamilselvan. "Second order difference scheme for singularly perturbed boundary turning point problems". Journal of Mathematical Modeling, 9, 4, 2021, 633-643. doi: 10.22124/jmm.2021.18771.1606
HARVARD
Jayalakshmi, G. J., Tamilselvan, A. (2021). 'Second order difference scheme for singularly perturbed boundary turning point problems', Journal of Mathematical Modeling, 9(4), pp. 633-643. doi: 10.22124/jmm.2021.18771.1606
VANCOUVER
Jayalakshmi, G. J., Tamilselvan, A. Second order difference scheme for singularly perturbed boundary turning point problems. Journal of Mathematical Modeling, 2021; 9(4): 633-643. doi: 10.22124/jmm.2021.18771.1606