Mathematics Applied to Engineering, Modelling, and Social Issues
Description
This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.
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Content
On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling.- On Dynamic Interactions Between Body Motion and Fluid Motion.- Certain Aspects of Problems with Non Homogenous Reactions.- A Survey on the Melnikov Theory for Implicit Ordinary Differential Equations with Applications to RLC Circuits.- Numerical solution of space-time-fractional reaction-diffusion equations via the Caputo and Riesz Derivatives.- An Extended Langhaar's Solution for Two-dimensional Entry Micro-channel Flows with High-order Slip.