{"product_id":"homotopy-based-methods-in-water-engineering","title":"Homotopy-Based Methods in Water Engineering","description":"\u003cp\u003eMost 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\u003c\/p\u003e","brand":"Manotosh Kumbhakar (Texas A\u0026M University, USA)","offers":[{"title":"Default Title","offer_id":51641654083800,"sku":"9781032438214","price":3350.0,"currency_code":"EGP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0807\/5572\/0408\/files\/81vt8iV0bIL._SL1500.jpg?v=1778411325","url":"https:\/\/www.abcacademic.com\/products\/homotopy-based-methods-in-water-engineering","provider":"Academic Bookshop Co.","version":"1.0","type":"link"}