{"product_id":"9781032438214-homotopybased-methods-in-water-engineeri","title":"Homotopy-Based Methods in Water Engineering","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003e\u003cp\u003eExploring the concept of homotopy from topology, different homotopy-based methods have been proposed for analytically solving nonlinear differential equations, given by approximate series solutions. \u003ci\u003eHomotopy-Based Methods in Water Engineering \u003c\/i\u003eattempts to present the applicability of these methods to water engineering problems.\u003c\/p\u003e. \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. \u003ci\u003eHomotopy-Based Methods in Water Engineering \u003c\/i\u003eattempts 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.\u003c\/p\u003e\n\u003cp\u003eFeatures:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eProvides analytical treatments to some key problems in water engineering\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eDescribes the applicability of homotopy-based methods for solving nonlinear equations, particularly differential equations\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eCompares different approaches in dealing with issues of nonlinearity\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":40912553115745,"sku":"9781032438214","price":125.38,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/products\/stand_15011082_jpg.jpg?v=1705546854","url":"https:\/\/www.rarewaves.com\/products\/9781032438214-homotopybased-methods-in-water-engineeri","provider":"Rarewaves.com","version":"1.0","type":"link"}