@Article{NMTMA-2-1, author = {}, title = {Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2009}, volume = {2}, number = {1}, pages = {100--118}, abstract = {
In this paper, a singularly perturbed Robin type boundary value problem for second-order ordinary differential equation with discontinuous convection coefficient and source term is considered. A robust-layer-resolving numerical method is proposed. An $\varepsilon$-uniform global error estimate for the numerical solution and also to the numerical derivative are established. Numerical results are presented, which are in agreement with the theoretical predictions.
}, issn = {2079-7338}, doi = {https://doi.org/2009-NMTMA-6018}, url = {https://global-sci.com/article/90745/approximation-of-derivative-for-a-singularly-perturbed-second-order-ode-of-robin-type-with-discontinuous-convection-coefficient-and-source-term} }