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- W2896814518 abstract "Abstract In this paper, the Bernstein polynomials method is proposed for the numerical solution of a class of multipoint problems with linear Volterra–Fredholm integro-differential equations of the neutral type. The main characteristic behind this method lie in the fact that, on the one hand, the problem will be reduced to a system of algebraic equations. On the other hand, the efficiency and accuracy of Bernstein polynomials method for solving these equations are high, which will be shown by preparing some theorems. Also, the existence and uniqueness of solution have been proved. Finally, the numerical experiments are presented to show the excellent behavior and high accuracy of proposed scheme in comparison with some other well-known methods." @default.
- W2896814518 created "2018-10-26" @default.
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- W2896814518 date "2019-02-01" @default.
- W2896814518 modified "2023-09-27" @default.
- W2896814518 title "Solving multipoint problems with linear Volterra–Fredholm integro-differential equations of the neutral type using Bernstein polynomials method" @default.
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- W2896814518 doi "https://doi.org/10.1016/j.apnum.2018.10.003" @default.
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