Chebychev Polynomial Solutions of Twelfth-order Boundary-value Problems
Mohamed El-Gamel *
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In this paper, Chebychev method is applied to solve twelfth-order boundary-value problems. The numerical results obtained with minimum amount of computation are compared with differential transformation method to show the efficiency of the method. The results show that the Chebychev method is high accuracy, more convenient and efficient for solving twelfth-order boundary-value problems.
Keywords: Chebychev polynomials, twelfth-order, nonlinear, numerical solution.