Solution of fifth order boundary value problems using nonpolynomial spline technique

Nonpolynomial spline is used for the numerical solutions of the fifth order linear special case boundary value problems. End conditions for the definition of spline are taken from Siddiqi and Akram [S.S. Siddiqi, Ghazala Akram, Sextic spline solutions of fifth order boundary value problems, Appl. Math. Lett., submitted for publication], consistent with the fifth order boundary value problem. Caglar et al. [H.N. Caglar, S.H. Caglar, E.H. Twizell, The numerical solution of fifth-order boundary-value problems with sixth-degree B-spline functions, Appl. Math. Lett. 12 (1999) 25–30] presented the solution of fifth order boundary value problem using sixth degree B-spline, is first order convergent. The method presented in this paper is observed to be a second order convergent. For the numerical illustration of the method developed, an example has also been considered.