{"product_id":"homotopy-based-methods-in-water-engineering","title":"Homotopy-Based Methods in Water Engineering","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:\u003cul\u003e   Provides analytical treatments to some key problems in water engineering\u003cul\u003e   Describes the applicability of homotopy-based methods for solving nonlinear equations, particularly differential equations\u003cul\u003e   Compares different approaches in dealing with issues of nonlinearity\u003c\/ul\u003e\n\u003c\/ul\u003e\n\u003c\/ul\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Default Title","offer_id":44556770541806,"sku":"9781032438214","price":155.2,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9781032438214_6bee3a8b-bd1d-46c2-a38c-32930b384cff.jpg?v=1704951929","url":"https:\/\/bookland.com.au\/products\/homotopy-based-methods-in-water-engineering","provider":"Book Land AU","version":"1.0","type":"link"}