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Numerical Solution of Second Order Singularly Perturbed Differential – Difference Equation with Negative Shift
| Content Provider | Semantic Scholar |
|---|---|
| Author | Phaneendra, K. Soujanya, Gbsl. Reddy, Y. N. |
| Copyright Year | 2014 |
| Abstract | In this paper, we present a numerical finite difference method to solve the boundary-value problem for singularly perturbed differential-difference equation, which contains only negative shift in the differentiated term. In this method, we first approximate the shifted term by Taylor series and apply a fourth order finite difference scheme, provided shifts are of o(ε). The existence and uniqueness of the discrete problem along with stability estimates are discussed. We have also discussed the convergence of the method. The effect of small shifts on the boundary layer solution of the problem has been given by considering several numerical experiments. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://internonlinearscience.org/upload/papers/IJNS-Vol18-No3-Paper8-20120225-Numerical%20Solution.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |