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

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

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 …