A New Parameter-Uniform Discretization of Semilinear Singularly Perturbed Problems
نویسندگان
چکیده
In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via quasilinearization technique. We then design and implement fitted operator finite difference method solve sequence linear problems that emerges from process. carry out rigorous analysis attest convergence proposed procedure notice first-order uniformly convergent. Some evaluations are implemented on model examples confirm theoretical results show efficiency method.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10132254