Fully discrete spectral methods for solving time fractional nonlinear Sine-Gordon equation with smooth and non-smooth solutions.

Applied Mathematics and Computation（2018）

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摘要

•A time fractional nonlinear Sine–Gordon equation is considered.•Legendre spectral approximation in space is proposed.•The discretization in time for smooth and non-smooth solutions.•The stability and convergence are analysed.•Numerical experiments are presented to confirm our theoretical analysis.

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关键词

Time fractional nonlinear Sine–Gordon equation,Legendre spectral method,Stability and convergence,Caputo derivative,Smooth and non-smooth solutions

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