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- W4385383347 abstract "This paper mainly studies numerical solution to the Volterra integral equation of the second kind. By using the roots of Chebyshev polynomial as collocation points, a new collocation method is prosed to solve the Volterra integral equation of the second kind. The proposed method firstly interpolates the product of the kernel function and the unknown solution at the roots of Chebyshev polynomial. Then, the Volterra integral equation is transformed into a system of linear algebra equations by properties of Chebyshev polynomials. Finally, the numerical solution of the Volterra integral equation is obtained by the Chebyshev polynomial interpolation. In addition, the error estimates of the proposed method are provided in a semi-posteriori sense; and numerical examples are given to show effectiveness of the proposed method." @default.
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- W4385383347 date "2023-12-01" @default.
- W4385383347 modified "2023-10-17" @default.
- W4385383347 title "A collocation method based on roots of Chebyshev polynomial for solving Volterra integral equations of the second kind" @default.
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- W4385383347 doi "https://doi.org/10.1016/j.aml.2023.108804" @default.
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