Solution of 10th-order boundary value problems using non-polynomial spline technique

Non-polynomial spline is used for the numerical solutions of the 10th-order linear special case boundary value problems. Siddiqi and Twizell [Spline solutions of linear tenth-order boundary value problems, Int. J. Computer Math. 68 (1998) 345–362] presented the solution of 10th-order boundary value problem using 10th degree spline, where some unexpected results, for the solution and all derivatives were obtained near the boundaries of the interval. But, no such unexpected situation is observed in this method, near the boundaries of the interval and the results are better in the whole interval. Two examples compared with those considered by Siddiqi and Twizell [as mentioned above] show that the method developed in this paper is more efficient.