Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas-Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems. Features
Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modelling.
Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modelling using differential equations.
Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modelling.
Mathematical Modelling with Differential Equations
RRP:
$231.00
Description
Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas-Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems. Features
Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modelling.
Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modelling using differential equations.
Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modelling.
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by...
This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine...
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