Legendre expansions of products of functions with applications to nonlinear partial differential equations

DOI10.1016/j.apnum.2024.03.014zbMath1542.65126MaRDI QIDQ6549555

Matthew Levy, D. J. Klein, Rabia Djellouli

Publication date: 4 June 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

diffusion equationRunge-Kutta methodsLegendre polynomialnonlinear PDEsFourier-Legendre seriesnonlinear ODEs

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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