Chebyshev Pseudospectral Approximation for Solving Higher-Order Boundary Value Problems

Abstract

In this paper, a Chebyshev Pseudospectral differentiation matrix is used to construct an approximate solution for higher-order boundary value problems. The algorithm developed approximates the numerical solution and their higher-order derivatives of sixth-order and fourth-order boundary value problems. The numerical results are compared with both the exact solution and the results of other methods. It is demonstrated that our algorithm is of high precision and efficiency.