.png){kind=icon}
.png){kind=icon}
Return
Optimal third-kind Chebyshev collocation algorithm for solving beam-type micro- and nanoscale BVPs
.png){kind=icon}
PRE
AI
DOI：10.22124/JMM.2025.30690.2747.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
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.
Keywords:
Third-kind Chebyshev polynomials
conocation method
MEN EMS actuators
noninear boundary vanie problems
Journal
J
IF:
0.8
Papers:
55
Citations:
0