Abstract:
Finite element method is an dlicicnl method i,"- 'olving ordinary 11m.! partial
differential equations in hoth linear ~nd nonlinear ~"'~~ Ihm arise in difl"relll bWllChc5 of
ilpplied sciences ~uch a~ hcallmnsfcr, Iluid now, solid Illcclw.ni~~,quun[lIlll mechanics
All kinds of problems stich as in;l"ll and boundary value problems and cigcn ...a.lue
problem, arc solved by using finite clement methou. In all these casc~ algebraic
polynomial or Lagr~ngc interpolation fundwll is used to apprO>.1I11uteth~ field variable.
In our prescot ~(udy we have replaced the LJgwnge inlerpolation I"unctionby the
IrigonmTIctl'ic interpolations namely sine and tangel1l interpolation in solving <Ill
eigenvalue problem by finite clement method.111C result silow~ (hal ~igenvalues
obtnin~d by using sine and tnngenl lIllcrpoialion agree well willllhos~ or Lagrange
inlerpolatioll.
