Mathematical Analysis of Groundwater Flow Models - Softcover

Softcover

ISBN 10: 103220995X ISBN 13: 9781032209951

Publisher: CRC Press, 2024

Synopsis

This book provides comprehensive analysis of a number of groundwater issues, ranging from flow to pollution problems. Several scenarios are considered throughout, including flow in leaky, unconfined, and confined geological formations, crossover flow behavior from confined to confined, to semi-confined to unconfined and groundwater pollution in dual media. Several mathematical concepts are employed to include into the mathematical models’ complexities of the geological formation, including classical differential operators, fractional derivatives and integral operators, fractal mapping, randomness, piecewise differential, and integral operators. It suggests several new and modified models to better predict anomalous behaviours of the flow and movement of pollution within complex geological formations. Numerous mathematical techniques are employed to ensure that all suggested models are well-suited, and different techniques including analytical methods and numerical methods are used to derive exact and numerical solutions of different groundwater models.

Features:

• Includes modified numerical and analytical methods for solving new and modified models for groundwater flow and transport
• Presents new flow and transform models for groundwater transport in complex geological formations
• Examines fractal and crossover behaviors and their mathematical formulations

Mathematical Analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modeling.

About this title

About the Author

Abdon Atangana is working at the Institute for Groundwater Studies, University of the Free State as a full Professor. His research interests are but not limited to fractional calculus and applications, numerical and analytical methods, modeling. He is author of more than 250 research papers and four books in top tier journals of applied mathematics and groundwater modeling. He was elected highly cited mathematicians 2019 and highly cited mathematicians with Crossfield impact 2020. He is a recipient of the World Academia of Science Award of mathematics 2020. He serves as editor in top tier journals in various fields of studies.

Edition details

• Publisher: CRC Press
• Publication date: 2024
• Language: English
• ISBN 10: 103220995X
• ISBN 13: 9781032209951
• Binding: Paperback
• Edition number: 1
• Number of pages: 610
• Editor: Atangana Abdon