The use of quartic splines in the numerical solution of a fourth-order boundary value problem
Journal of Computational and Applied Mathematics
Homotopy perturbation method for solving sixth-order boundary value problems
Computers & Mathematics with Applications
A mini-review of numerical methods for high-order problems
International Journal of Computer Mathematics
Solving singular boundary-value problems of higher even-order
Journal of Computational and Applied Mathematics
| Hi-index | 7.29 |
Septic spline is used for the numerical solution of the sixth-order linear, special case boundary value problem. End conditions for the definition of septic spline are derived, consistent with the sixth-order boundary value problem. The algorithm developed approximates the solution and their higher-order derivatives. The method has also been proved to be second-order convergent. Three examples are considered for the numerical illustrations of the method developed. The method developed in this paper is also compared with that developed in [M. El-Gamel, J.R. Cannon, J. Latour, A.I. Zayed, Sinc-Galerkin method for solving linear sixth order boundary-value problems, Mathematics of Computation 73, 247 (2003) 1325-1343], as well and is observed to be better.