Linear Partial Differential Equations and Fourier Theory

Linear Partial Differential Equations and Fourier Theory

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This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.Part IV BVP solutions via eigenfunction expansions A powerful and general method for solving linear PDEs is to represent the ... The orthogonal trigonometric functions Sn and Cn in a Fourier series are eigenfunctions of the Laplacian operator A. ... Sn and CH are particularly a#39;well adapteda#39; to domains like the interval [0, 21], the square [0, n]2, or the cube [0, n]3, for two ... 11 Boundary value problems on a line segment Mathematics is 227 BVP solutions via eigenfunction expansions.

Title:Linear Partial Differential Equations and Fourier Theory
Author: Marcus Pivato
Publisher:Cambridge University Press - 2010-01-07

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