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Sahu, Subal, Mohapatra, Jugal, Govindarao, Lolugu. (1402). A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation. سامانه مدیریت نشریات علمی, 11(4), 822-833. doi: 10.22034/cmde.2023.52094.2178
Subal Ranjan Sahu; Jugal Mohapatra; Lolugu Govindarao. "A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation". سامانه مدیریت نشریات علمی, 11, 4, 1402, 822-833. doi: 10.22034/cmde.2023.52094.2178
Sahu, Subal, Mohapatra, Jugal, Govindarao, Lolugu. (1402). 'A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation', سامانه مدیریت نشریات علمی, 11(4), pp. 822-833. doi: 10.22034/cmde.2023.52094.2178
Sahu, Subal, Mohapatra, Jugal, Govindarao, Lolugu. A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation. سامانه مدیریت نشریات علمی, 1402; 11(4): 822-833. doi: 10.22034/cmde.2023.52094.2178

A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation

Computational Methods for Differential Equations
مقاله 12، دوره 11، شماره 4، مهر 2023، صفحه 822-833    اصل مقاله (376.4 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.52094.2178
نویسندگان
Subal Ranjan Sahu1؛ Jugal Mohapatra* 2؛ Lolugu Govindarao3
1Department of Mathematics, Larambha college, Bargarh, Orissa - 768102, India.
2Department of Mathematics, National Institute of Technology Rourkela, Odisha, India.
3Department of Mathematics Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore- 641112, India.
چکیده
A class of singularly perturbed mixed type boundary value problems is considered here in this work. The domain is partitioned into two subdomains. Convection-diffusion and reaction-diffusion problems are posed on the first and second subdomain, respectively. To approximate the problem, a hybrid scheme which consists of a  second-order central difference scheme and a midpoint upwind scheme is constructed on Shishkin-type meshes. We have shown that the proposed scheme is second-order convergent in the maximum norm which is independent of the perturbation parameter. Numerical results are illustrated to support the theoretical findings.
کلیدواژه‌ها
Singular perturbation؛ Mixed problem؛ Bakhvalov-Shishkin mesh؛ Hybrid scheme؛ Uniform convergence
مراجع
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