We consider finite difference method to find best approximation of nonlinear singularly perturbed problem which contains multi-point boundary conditions. We surveyed the asymptotic estimates of the corresponding problem that needs to be solved with maximum principle. We constructed a finite difference scheme by using Bakhvalov mesh. Based on the error estimation, we proved that this method was first-order, uniformly convergent method with in the discrete maximum norm. Finally, we conducted a numerical experiment in order to check the theoretical results
Arslan, D. (2020). A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition. Computational Methods for Differential Equations, 8(2), 236-250. doi: 10.22034/cmde.2020.34380.1572
MLA
Derya Arslan. "A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition". Computational Methods for Differential Equations, 8, 2, 2020, 236-250. doi: 10.22034/cmde.2020.34380.1572
HARVARD
Arslan, D. (2020). 'A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition', Computational Methods for Differential Equations, 8(2), pp. 236-250. doi: 10.22034/cmde.2020.34380.1572
VANCOUVER
Arslan, D. A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition. Computational Methods for Differential Equations, 2020; 8(2): 236-250. doi: 10.22034/cmde.2020.34380.1572
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