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• W3202087830 abstract "Given the Fourier-Legendre expansions of $f$ and $g$, and mild conditions on $f$ and $g$, we derive the Fourier-Legendre expansion of their product in terms of their corresponding Fourier-Legendre coefficients. In this way, expansions of whole number powers of $f$ may be obtained. We establish upper bounds on rates of convergence. We then employ these expansions to solve semi-analytically a class of nonlinear PDEs with a polynomial nonlinearity of degree 2. The obtained numerical results illustrate the efficiency and performance accuracy of this Fourier-Legendre based solution methodology for solving an important class of nonlinear PDEs." @default.
• W3202087830 created "2021-10-11" @default.
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• W3202087830 date "2021-09-18" @default.
• W3202087830 modified "2023-09-27" @default.
• W3202087830 title "Legendre Expansions of Products of Functions with Applications to Nonlinear Partial Differential Equations" @default.
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• W3202087830 hasPublicationYear "2021" @default.
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