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Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions | ||
| Journal of Mathematical Modeling | ||
| مقاله 7، دوره 13، شماره 3، مهر 2025، صفحه 609-628 اصل مقاله (219.62 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.28691.2547 | ||
| نویسندگان | ||
| Janani Jayalakshmi G1؛ Sekar Elango* 2؛ Raja Velusamy3؛ Tamilselvan A4 | ||
| 1PG and Research Department of Mathematics, Seethalakshmi Ramaswami College( Affiliated to Bharathidasan University), Tiruchirapalli-2, Tamilnadu, India | ||
| 2Amrita School of Physical Science, Amrita Vishwa Vidyapeetham, Coimbatore, Tamilnadu, India | ||
| 3Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu, Tamilnadu India | ||
| 4Department of Mathematics, Bharathidasan University, Tiruchirappalli, India | ||
| چکیده | ||
| A comparative study on numerical methods for Singularly Perturbed Boundary Turning Point Problems (SPBTPPs) featuring discontinuous source terms are examined. The study involves developing and analyzing two specific numerical techniques: the finite difference method and a hybrid difference method incorporating a Shishkin-type mesh. This approach demonstrates notable capabilities, exhibiting almost first-order and second-order convergence for the finite difference and hybrid difference methods, respectively. Numerical results are given to support the theoretical findings. | ||
| کلیدواژه‌ها | ||
| Boundary turning point problem؛ interior and boundary layer؛ finite and hybrid difference methods؛ piecewise uniform mesh | ||
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آمار تعداد مشاهده مقاله: 58 تعداد دریافت فایل اصل مقاله: 107 |
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