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- W4312941143 abstract "We develop an efficient algorithm for computing polynomial solutions of linear integro-differential equations. Considering a linear integro-differential operator written in normal form, we compute the possible degrees of its polynomial solutions. Then, we prove that the so-called monomial-by-monomial method can be adapted to the integro-differential case. The difference compared to the well-studied case of linear differential equations merely comes from the presence of an “evaluation term” in the normal form. Our algorithm is implemented in Maple and many examples are provided to illustrate the different results." @default.
- W4312941143 created "2023-01-05" @default.
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- W4312941143 date "2022-01-01" @default.
- W4312941143 modified "2023-09-24" @default.
- W4312941143 title "On polynomial solutions of linear integro-differential equations" @default.
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- W4312941143 doi "https://doi.org/10.1016/j.ifacol.2022.11.300" @default.
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