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

<p><i>Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients </i>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.</p><p>The book starts with six different methods of solution of linear partial differential equations (p.d.e.) with constant coefficients. One of the methods namely characteristic polynomial is then extended to a further five classes including linear p.d.e. with homogeneous power coefficients and finite difference equations and simultaneous systems of both (simultaneous partial differential equations [s.p.d.e.] and simultaneous finite difference equations [s.f.d.e.]). The applications include detailed solutions of the most important p.d.e. in physics and engineering including the Laplace heat diffusion telegraph bar and beam equations. The free and forced solutions are considered together with boundary initial asymptotic starting and other conditions.</p><p>The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical aerospace electrical and other branches of engineering dealing with advanced technology and also in the physical sciences and applied mathematics.</p>