Abstract
Consider a partial differential equation for φ in any number of independent variables, x, y, z, ... t. The method of separation of variables is used to find solutions of the form
, (16) where X(x) is a function of x only, Y(y) a function of y only, . . . and T(t) a function of t only.
Keywords
- Arbitrary Constant
- Metal Block
- Fourier Sine Series
- Original Partial Differential Equation
- Rectangle ABCD
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© 1961 D. R. Bland
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Bland, D.R. (1961). The Method of Separation of Variables. In: Solutions of Laplace’s Equation. Library of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-7694-1_2
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DOI: https://doi.org/10.1007/978-94-011-7694-1_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7100-4353-5
Online ISBN: 978-94-011-7694-1
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