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An hp-version Chebyshev collocation method for nonlinear fractional differential equations

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Abstract In this paper, an hp-version Chebyshev collocation method is developed for the nonlinear fractional differential equations. The hp-version error bounds of the Chebyshev collocation method are derived under the… Click to show full abstract

Abstract In this paper, an hp-version Chebyshev collocation method is developed for the nonlinear fractional differential equations. The hp-version error bounds of the Chebyshev collocation method are derived under the L 2 -norm and the L ∞ -norm. Numerical experiments are included to illustrate the theoretical results.

Keywords: chebyshev collocation; collocation method; version chebyshev

Journal Title: Applied Numerical Mathematics
Year Published: 2020

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