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Homotopy-Based Methods in Water Engineering (Hardcover)
Loot Price: R2,983
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Homotopy-Based Methods in Water Engineering (Hardcover)
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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
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