Homotopy-Based Methods in Water Engineering Hardback
by Manotosh (Texas A&M University, USA) Kumbhakar, Vijay P. (Texas A&M University, USA) Singh
Hardback
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Description
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
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In Stock - low on stock, only 1 copy remainingFree UK DeliveryEstimated delivery 2-3 working days
- Format:Hardback
- Pages:450 pages, 76 Tables, black and white; 189 Line drawings, black and white; 189 Illustrations, black
- Publisher:Taylor & Francis Ltd
- Publication Date:20/07/2023
- Category:
- ISBN:9781032438214
Information
-
In Stock - low on stock, only 1 copy remainingFree UK DeliveryEstimated delivery 2-3 working days
- Format:Hardback
- Pages:450 pages, 76 Tables, black and white; 189 Line drawings, black and white; 189 Illustrations, black
- Publisher:Taylor & Francis Ltd
- Publication Date:20/07/2023
- Category:
- ISBN:9781032438214