“…Since the aforementioned analytical solutions are unobtainable, suitable numerical procedures have to be selected, and it becomes imperative to evidence the pros and cons of each method [ 25 , 26 , 30 , 31 , 32 ]. MEMS is a rampant technology employed for realizing thermo-elastic systems [ 1 , 33 , 34 , 35 , 36 , 37 ], and it has a wide variety of applications ranging from biomedical engineering to microfluidics [ 38 , 39 , 40 , 41 , 42 ]. Moreover, many researchers are actively engaged in the development of important experimental research works for the development and prototyping of special MEMS such as, for example, circular graphene membrane MEMS devices [ 43 , 44 ], SiN circular membrane MEMS devices [ 45 , 46 ], and CMOS MEMS-based membrane-bridge devices [ 47 ] particularly useful for industrial applications.…”