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- W4367180930 abstract "In this paper, a collocation method based on shifted second‐order Chebyshev polynomials is implemented to obtain the approximate solution of the stochastic Itô–Volterra integral equation of Abel type with weakly singular kernel. In this method, operational matrices are used to convert the stochastic Itô–Volterra integral equation to algebraic equations that are linear. The algorithm of the proposed numerical scheme has been presented in this paper. Also, the error bound and convergence of the proposed method are well established. Consequently, two illustrative examples are provided to demonstrate the efficiency, plausibility, reliability, and consistency of the current methodology." @default.
- W4367180930 created "2023-04-28" @default.
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- W4367180930 date "2023-04-27" @default.
- W4367180930 modified "2023-10-12" @default.
- W4367180930 title "A novel numerical approach based on shifted second‐kind Chebyshev polynomials for solving stochastic Itô–Volterra integral equation of Abel type with weakly singular kernel" @default.
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- W4367180930 doi "https://doi.org/10.1002/mma.9302" @default.
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