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G, Janani Jayalakshmi, Elango, Sekar, Velusamy, Raja, A, Tamilselvan. (1403). Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions. فیزیولوژی و بیوتکنولوژی آبزیان, (), 609-628. doi: 10.22124/jmm.2025.28691.2547
Janani Jayalakshmi G; Sekar Elango; Raja Velusamy; Tamilselvan A. "Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions". فیزیولوژی و بیوتکنولوژی آبزیان, , , 1403, 609-628. doi: 10.22124/jmm.2025.28691.2547
G, Janani Jayalakshmi, Elango, Sekar, Velusamy, Raja, A, Tamilselvan. (1403). 'Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions', فیزیولوژی و بیوتکنولوژی آبزیان, (), pp. 609-628. doi: 10.22124/jmm.2025.28691.2547
G, Janani Jayalakshmi, Elango, Sekar, Velusamy, Raja, A, Tamilselvan. Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions. فیزیولوژی و بیوتکنولوژی آبزیان, 1403; (): 609-628. doi: 10.22124/jmm.2025.28691.2547

Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions

Journal of Mathematical Modeling
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 22 اسفند 1403    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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تعداد مشاهده مقاله: 44
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