One Dimension

Gerald Dennis Mahan
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Gerald Dennis Mahan: Pennsylvania State University

Chapter 10 in Applied Mathematics, 2002, pp 237-264 from Springer

Abstract: Abstract Some differential equations are solved in one dimension. The first is Laplace’s equation 10.1 $${{{d^2}} \over {d{x^2}}}\phi (x) = 0$$ Its only Solution is Ø(x) =a + bx where the constants a,b are set by the boundary conditions. A second order equation always has two constants. The Solution is dull: it is a straight line.

Keywords: Wave Equation; Wave Front; Diffusion Equation; Delta Function; Image Source (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4615-1315-5_10

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