{ "item_title" : "Homotopy-Based Methods in Water Engineering", "item_author" : [" Manotosh Kumbhakar", "Vijay P. Singh "], "item_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 engineeringDescribes the applicability of homotopy-based methods for solving nonlinear equations, particularly differential equationsCompares different approaches in dealing with issues of nonlinearity", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/1/03/243/822/1032438223_b.jpg", "price_data" : { "retail_price" : "65.99", "online_price" : "65.99", "our_price" : "65.99", "club_price" : "65.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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