Fractional Calculus in Soil Hydrology and Mechanics: Fundamentals and Applications [Kõva köide]

  • Formaat: Hardback, 300 pages, kõrgus x laius: 235x156 mm, 3 Illustrations, color; 27 Illustrations, black and white
  • Ilmumisaeg: 15-Jun-2020
  • Kirjastus: CRC Press
  • ISBN-10: 1138491667
  • ISBN-13: 9781138491663
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Fractional Calculus in Soil Hydrology and Mechanics: Fundamentals and Applications
  • Formaat: Hardback, 300 pages, kõrgus x laius: 235x156 mm, 3 Illustrations, color; 27 Illustrations, black and white
  • Ilmumisaeg: 15-Jun-2020
  • Kirjastus: CRC Press
  • ISBN-10: 1138491667
  • ISBN-13: 9781138491663

This book presents the most relevant concepts and findings in fractional calculus (FC), fractional differential equations (FDEs) and fractional partial differentia equations (FPDEs) and their applications in soil physics, groundwater hydrology, soil mechanics, irrigation and drainage engineering, earth and environmental sciences and environmental engineering. Readers of this book will be postgraduates, senior undergraduates, academics, researchers and other professionals in these fields. A reader from the above fields will find the most relevant materials necessary for the initial study and immediate applications of the concepts and models with examples.

Introduction. Mathematical preliminaries and special functions. Water flow, solute transport and heat transfer in unsaturated and variably saturated soils. Water flow, solute transport and heat transfer in saturated aquifers. Coupled flow, solute transport and heat transfer in soils and aquifers. Viscoelastic models for mechanics of porous media (soils and aquifers). A collection of analytical and numerical methods for solutions of fractional models and their representations. References.
Dr. Ninghu Su is currently Adjunct Professor in the College of Science and Engineering, James Cook University, Australia, and has been Guest Professor at the School of Mathematics and Computational Science at Xiangtan University, and School of Mathematics and System Science at Shenyang Normal University, China. Su completed his PhD at the Australian National University, Australia's leading research university. He completed his M.Sc. at the Institute of Soil and Water Conservation, Chinese Academy of Science, and B.Sc. at Ningxia University. He has worked as an academic at universities and research organizations in Australia, China and New Zealand and has authored/co-authored over 100 papers (journals papers and conference papers). He is an editor for Open Geoscience, a member of editorial boards for three other journals and is a member of many professional societies such as the International Association of Hydrological Sciences (IAHS), International Society of Modelling and Simulation, and national societies such as the Society of Industrial and Applied Mathematics of China etc. Su has worked in many fields with a particular interest in hydrological and environmental modelling. Over the past 15 years he concentrated on the fractional calculus, particularly fractional partial differential equations (FPDEs) and their applications. The most significant contributions in his career are the FPDEs which he developed for analyzing water flow in unsaturated soils, and groundwater flow in saturated aquifers - both of these findings have been published by the major publisher Elsevier in its Journal of Hydrology (2014 and 2017).

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