Automated solving of constant-coefficients second-order linear PDEs using Fourier analysis

Autor:	Roque, Emmanuel, Vallejo, José A
Rok vydání:	2020
Předmět:	Mathematics - Numerical Analysis 35-04 35C10:65T40
Druh dokumentu:	Working Paper
Popis:	After discussing the limitations of current commercial software, we provide the details of an implementation of Fourier techniques for solving second-order linear partial differential equations (with constant coefficients) using a computer algebra system. The general Sturm-Liouville problem for the heat, wave and Laplace operators on the most common bounded domains is covered, as well as the general second-order linear parabolic equation with constant coefficients, which includes cases such as the convection-diffusion equation by reduction to the heat equation. Comment: First version. 14 pages including one figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.02604 Zobrazit plný text záznamu View this record from Arxiv