Barycentric rational interpolation collocation method (BRICM) is presented to solve viscoelastic equation. The matrix form of the collocation method is derived based on the barycentric rational interpolation technique, enabling easy implementation in programming. By leveraging the convergence rate of linear barycentric rational interpolation , we establish the convergence rate of the linear barycentric rational collocation method for solving viscoelastic equation. Finally, several numerical examples are provided to demonstrate the convergence rate and validate the theoretical analysis.
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Li et al. (2024) studied this question.
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