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Optimal third-kind Chebyshev collocation algorithm for solving beam-type micro- and nanoscale BVPs | ||
| Journal of Mathematical Modeling | ||
| مقاله 9، دوره 13، شماره 4، اسفند 2025، صفحه 883-898 اصل مقاله (469.45 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.30690.2747 | ||
| نویسندگان | ||
| Youssri Hassan Youssri* 1؛ Ahmed Gamal Atta2 | ||
| 1Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt | ||
| 2Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11341, Egypt | ||
| چکیده | ||
| In this paper, we develop a numerical scheme for solving nonlinear boundary value problems (BVPs) arising in cantilever-type micro-electromechanical (MEMS) and nano-electromechanical (NEMS) systems. The method is based on a novel third-kind Chebyshev collocation approach. We derive an operational matrix of derivatives using shifted third-kind Chebyshev polynomials, which enables efficient spectral approximations of the governing equations. Numerical experiments confirm the accuracy and efficiency of the proposed method in handling the nonlinearities present in MEMS/NEMS actuator models. | ||
| کلیدواژه‌ها | ||
| Third-kind Chebyshev polynomials؛ collocation method؛ MEMS/NEMS actuators؛ nonlinear boundary value problems | ||
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آمار تعداد مشاهده مقاله: 90 تعداد دریافت فایل اصل مقاله: 70 |
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