Numerical Solution for Nonlinear Klein-Gordon Equation by Using Lagrange Polynomial Interpolation with a Trick


The KIPS Transactions:PartA, Vol. 11, No. 7, pp. 571-576, Dec. 2004
10.3745/KIPSTA.2004.11.7.571,   PDF Download:

Abstract

In this paper, by using Lagrange polynomial interpolation with a trick such that for f(x)3 we shall use f(xi)3 Ii(x) instead of I(x)3 where . We show the convergence and stability and calculate errors. These errors are approximately less than C(1/N)N-1 hN(N-1)(N/2)N-1 /(N/2)! where N is a polynomial degree.


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Cite this article
[IEEE Style]
I. J. Lee, "Numerical Solution for Nonlinear Klein-Gordon Equation by Using Lagrange Polynomial Interpolation with a Trick," The KIPS Transactions:PartA, vol. 11, no. 7, pp. 571-576, 2004. DOI: 10.3745/KIPSTA.2004.11.7.571.

[ACM Style]
In Jung Lee. 2004. Numerical Solution for Nonlinear Klein-Gordon Equation by Using Lagrange Polynomial Interpolation with a Trick. The KIPS Transactions:PartA, 11, 7, (2004), 571-576. DOI: 10.3745/KIPSTA.2004.11.7.571.