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- W3157202316 abstract "In this paper, we evaluate the integrals that are solutions of the heat and Stokes’ equations obtained by Fokas’ transform method by deriving exact formulas. Our method is more accurate and efficient than the contour deformation and parametrization used by Fokas to compute these integrals. In fact, for the heat equation, our solution is exact up to the imaginary error function and for the Stokes equation, our solution is exact up to the incomplete Airy function. In addition, our solutions extend to the lateral boundary without convergence issues, allow for asymptotic expansions, and are much faster than those obtained by other methods." @default.
- W3157202316 created "2021-05-10" @default.
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- W3157202316 date "2021-01-01" @default.
- W3157202316 modified "2023-09-29" @default.
- W3157202316 title "Approximate Analytical Solutions to the Heat and Stokes Equations on the Half-Line Obtained by Fokas’ Transform" @default.
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- W3157202316 doi "https://doi.org/10.4236/jamp.2021.94055" @default.
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