Equations of Physics

Gerald Dennis Mahan
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Gerald Dennis Mahan: Pennsylvania State University

Chapter 9 in Applied Mathematics, 2002, pp 217-236 from Springer

Abstract: Abstract The remainder of this book will discuss the method of solving some differential equations. These equations are those encountered in a variety of physics problems: 9.1 $$Laplaces{\text{ }}Equation{\text{ }}{\nabla ^2}\phi = 0$$ 9.2 $$Helmholtz{\text{ }}Equation{\text{ }}({\nabla ^2} + {k^2})\phi = 0$$ 9.3 $$Poisson{\text{ }}Equation{\text{ }}({\nabla ^2}\phi = - \frac{e}{{{\varepsilon _0}}})n(r)$$ 9.4 $$Diffusion{\text{ }}Equation{\text{ }}(D{\nabla ^2} - \frac{\partial }{{\partial t}})\phi = 0$$ 9.5 $$Wave{\text{ }}Equation{\text{ }}({v^2}{\nabla ^2} - \frac{{{\partial ^2}}}{{\partial {t^2}}})\phi = 0$$

Keywords: Boltzmann Equation; Diffusion Equation; Seebeck Coefficient; Helmholtz Equation; Moment Equation (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4615-1315-5_9

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