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- W1566002920 abstract "Differential equations involving two or more variables are termed as partial differential equations. While numerical solution methods are required for general source distributions, medium properties, and boundary conditions, analytic results are often accessible for structures with the symmetries of orthogonal coordinate systems. Thus, a homogeneous sourceless medium within a rectangular boundary can be described in rectangular coordinates as a superposition of products of harmonic and hyperbolic functions. The analogous functions for other orthogonal coordinate systems are termed as special functions. This chapter discusses the Legendre polynomials, spherical harmonics, Bessel functions, and the spherical Bessel functions." @default.
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- W1566002920 date "2014-11-21" @default.
- W1566002920 modified "2023-10-18" @default.
- W1566002920 title "Partial Differential Equations and Special Functions" @default.
- W1566002920 doi "https://doi.org/10.1002/9781118979792.ch13" @default.
- W1566002920 hasPublicationYear "2014" @default.
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