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This paper presents a highly efficient numerical method for solving the time-fractional diffusion equation on unbounded domains by reformulating it into a bounded domain problem using artificial boundary conditions. The method combines a time-stepping scheme with a spectral method for spatial discretization, utilizing L2 formula and sum-of-exponentials (SOE) approximation to reduce computational costs. The authors provide rigorous proofs of convergence and stability, along with numerical examples to validat

Author

ruby.1

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EN