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- W2892854620 abstract "We propose an efficient numerical approach to evaluate the infinite oscillatory integral for the heat equation’s transform solution on the half-line that was recently introduced by Fokas. The proposed approach consists of first bounding the tail of the integral by making use of the partitioning-extrapolation method, then applying the trapezoidal rule with repeated Richardson extrapolation (Romberg integration) to estimate the resulting finite oscillatory integral to any desired accuracy. Our computational results show that, in the case of the slow integrand decay, our method improves the estimation of the integral’s tail and the solution in general over that obtained by a direct truncation, and the use of Romberg integration reduces the number of function evaluations than that of MATLAB’s adaptive subroutine." @default.
- W2892854620 created "2018-10-05" @default.
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- W2892854620 date "2018-09-28" @default.
- W2892854620 modified "2023-09-26" @default.
- W2892854620 title "Numerical Evaluation of Fokas’ Transform Solution of the Heat Equation on the Half-Line" @default.
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- W2892854620 doi "https://doi.org/10.1007/978-3-319-97277-0_20" @default.
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