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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 1961 D. R. Bland
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive