Abstract:
Finite element method is an efficient method for solving ordinary and partial differential
equations in both lincar and nonlinear cases that arise in different branches of applied
sciences slIeh <ISheat transfer, fluid flow, solid meehm:tics, quantum mechanics, All kinds
of problems such as initial and boundary value problems and eigenvalue problems are
solved by using finite clement method. In all these cases algebraic polynomial or
Lagrange interpolation fnnClion is used to approximate the field vari<lble.
In our present study we have replaced the Lagrange interpolation function by the
Hypcrbolic interpolations namely sine and tangent hyperbolic interpol<ltion in solving an
eigenvalue problem by finite element method. The resnlt shows tbat eigenvalucs obtained
by using sine and tangcnt hyperbolic interpolation agree well with those of Lagrange
interpolatioll.
