Homotopy-Based Methods in Water Engineering (Hardcover)

Most complex physical phenomena can be described by nonlinear equations, specifically, differential equations. In water engineering, nonlinear differential equations play a vital role in modeling physical processes. Analytical solutions to strong nonlinear problems are not easily tractable, and existing techniques are problem-specific and applicable for specific types of equations. Exploring the concept of homotopy from topology, different kinds of homotopy-based methods have been proposed for analytically solving nonlinear differential equations, given by approximate series solutions. Homotopy-Based Methods in Water Engineering attempts to present the wide applicability of these methods to water engineering problems. It solves all kinds of nonlinear equations, namely algebraic/transcendental equations, ordinary differential equations (ODEs), systems of ODEs, partial differential equations (PDEs), systems of PDEs, and integro-differential equations using the homotopy-based methods. The content of the book deals with some selected problems of hydraulics of open-channel flow (with or without sediment transport), groundwater hydrology, surface-water hydrology, general Burger’s equation, and water quality. Features: Provides analytical treatments to some key problems in water engineering Describes the applicability of homotopy-based methods for solving nonlinear equations, particularly differential equations Compares different approaches in dealing with issues of nonlinearity

General

Imprint:	Taylor & Francis
Country of origin:	United Kingdom
Release date:	July 2023
First published:	2023
Authors:	Manotosh Kumbhakar • Vijay P. Singh
Dimensions:	234 x 156mm (L x W)
Format:	Hardcover
Pages:	450
ISBN-13:	978-1-03-243821-4
Categories:	Books > Professional & Technical > Civil engineering, surveying & building > General Books > Professional & Technical > Environmental engineering & technology > General Books > Business & Economics > Industry & industrial studies > Energy industries & utilities > Water industries Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Earth & environment > Earth sciences > The hydrosphere > General
LSN:	1-03-243821-5
Barcode:	9781032438214

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