Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid |
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| Authors: | Jugal Mohapatra Srinivasan Natesan |
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| Affiliation: | Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati-781039, India. |
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| Abstract: | Adaptive grid methods are established as valuable computational technique in approximating effectively the solutions of problems with boundary or interior layers. In this paper,we present the analysis of an upwind scheme for singularly perturbed differential-difference equation on a grid which is formed by equidistributing arc-length monitor function.It is shown that the discrete solution obtained converges uniformly with respect to the perturbation parameter.Numerical experiments illustrate in practice the... |
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| Keywords: | Singular perturbation problems delay differential equations boundary layer upwind scheme adaptive mesh uniform convergence |
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