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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
Produkteigenschaften
- Artikelnummer: 9781032438221
- Medium: Buch
- ISBN: 978-1-032-43822-1
- Verlag: Taylor & Francis Ltd (Sales)
- Erscheinungstermin: 30.01.2025
- Sprache(n): Englisch
- Auflage: 1. Auflage 2025
- Produktform: Kartoniert
- Gewicht: 653 g
- Seiten: 470
- Format (B x H x T): 156 x 234 x 24 mm
- Ausgabetyp: Kein, Unbekannt