A uniform numerical method for quasilinear singular perturbation problems without turning points |
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Authors: | Dr R Vulanovi? |
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Affiliation: | 1. Institute of Mathematics, University of Novi Sad, ul. Dr. Ilije Djuri?i?a 4, YU-21000, Novi Sad, Yugoslavia
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Abstract: | A numerical method for singularly perturbed quasilinear boundary value problems without turning points is proposed: the continuous problem is transformed by introducing a special new independent variable and then finite-difference schemes are applied. The first order convergence uniform in the perturbation parameter is proved in the discreteL 1-norm. The numerical results show the pointwise convergence, too. |
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