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Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homog - With Constant or Homogeneous Coefficients

2024, Innbundet, Engelsk

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Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "Mathematics and Physics for Science and Technology", which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves; the diffusion of heat, mass, and electricity; and their interactions. This is the third book of the volume.

The book starts with six different methods of solution of linear partial differential equations (P.D.E.s) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear P.D.E.s with homogeneous powe

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