Chebyshev Rational Approximations for the Rosenau-KdV-RLW Equation on the Whole Line

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Mohammadreza Foroutan, Ali Ebadian, Chebyshev Rational Approximations for the Rosenau-KdV-RLW Equation on the Whole Line, Int. J. Anal. Appl., 16 (1) (2018), 1-15.

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Mohammadreza Foroutan, Ali Ebadian

Abstract

In this paper, we consider the use of a modified Chebyshev rational approximations for the Rosenau-KdV-RLW equation on the whole line with initial-boundary values. It is shown that the proposed scheme leads to optimal error estimates. Furthermore, the stability and convergence of the proposed schemes are proved. The fully discrete Chebyshev pseudo-spectral scheme is constructed. Numerical results confirm well with the theoretical results. The idea and techniques presented in this paper will be useful to solve many other problems.

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