A Textbook of Partial Differential Equation: Classical and Mathematical Software-based Solution Approach

Partial differential equations provide a generic description of the majority of physical events, whether they are related to heat flow, fluid dynamics, electricity, magnetism, mechanics, or optics. Such equations are, in fact, essential to mathematical physics. Even if these equations can be simplified to become ordinary differential equations, the full description of physical systems can be found in the general field of partial differential equations. This extremely helpful literature demonstrates to the reader how to create a mathematical model of the physical problem, how to generate a partial differential equation from it, and how to solve the equation (along with initial and boundary conditions).

This succinct guide is devoted to assisting engineering students in solving problems in their profession that include partial differential equations and only requires a basic understanding of ordinary differential equations. Questions of existence, uniqueness, and convergence are not emphasised; instead, the treatment concentrates solely on the useful solution of partial differential equations. The more prevalent partial differential equations related to phenomena, including vibration, heat transport, electricity, and elasticity, are derived.

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