Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation

作者：Ganaie Ishfaq Ahmad; Gupta Bharti; Parumasur N; Singh P; Kukreja V K^*

来源：Applied Mathematics and Computation, 2013, 220: 560-567.

DOI：10.1016/j.amc.2013.05.073

• Hermite basis
• Spectral norms
• Chebyshev polynomials
• Collocation points
• Error estimates

In this paper, the asymptotic convergence of cubic Hermite collocation method in continuous time for the parabolic partial differential equation is established of order O(h(2)). The linear combination of cubic Hermite basis taken as approximating function is evaluated using the zeros of Chebyshev polynomials as collocation points. The theoretical results are verified for two test problems.

• 出版日期2013-9-1