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

Ishfaq Ahmad Ganaie,Bharti Gupta,N. Parumasur,P. Singh,V. K. Kukreja

Applied Mathematics and Computation（2013）

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摘要

In this paper, the asymptotic convergence of cubic Hermite collocation method in continuous time for the parabolic partial differential equation is established of order Oh^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.

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关键词

continuous time,chebyshev polynomial,cubic hermite basis,parabolic partial differential equation,test problem,approximating function,asymptotic convergence,linear combination,cubic hermite collocation method,collocation point,chebyshev polynomials

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