Quintic Spline Approximation in Fluid Mechanics
by
N. K Choubey
Head of the Department Mathematics : Govt. Science College , Jabalpur, (M.P.) India
Coauthors: Rajendra Pandey

Many authors have applied spline approximations to solve the differential and integral equations occurring in fluid mechanics problems. The emphasis, so far, has been on the use of cubic splines in the solution of initials values problems, two-point boundary value problems ,parabolic equations wave equations etc Literature on the use of quintic splines is rather sparse although it is generally recognized that for approximating a given analytic function in numerical integration, differentiation or interpolation , it is some this advantageous to use higher order spline. In this paper. It has been demonstrated that quintic splines or deficient quintic splines can give better accuracy that cubic splines in the solution of boundary value problems. Thus, in the present paper, it has been proved that a higher order method can be used to produce a more accurate solution for the same amount of computer time as that required by a lower order method.

Date received: September 5, 2003