Summary: Non-polynomial spline is used for the numerical solution of the sixth order linear special case boundary value problems. The method presented in this paper has also been proved to be second order convergent. Two examples are considered for the numerical illustrations of the method developed. The method is also compared with those developed by El-Gamel et al. [M. El-Gamel, J. R. Cannon, J. Latour
and A. I. Zayed
, Math. Comput. 73, No. 247, 1325–1343 (2004; Zbl 1054.65085
)] and Siddiqi and Twizell [S. S. Siddiqi
and E. H. Twizell
, Int. J. Comput. Math. 60, No. 3–4, 295–304 (1996; Zbl 1001.65523
)], as well and is observed to be better.