Homotopy-Based Methods in Water Engineering - Kumbhakar, Manotosh
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Présentation Homotopy - Based Methods In Water Engineering de Kumbhakar, Manotosh Format Broché
- Livre Technologie
Résumé : Exploring the concept of homotopy from topology, different 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 applicability of these methods to water engineering problems.
Biographie:
Part One: Introduction. 1.?Introduction. 2. Basic Concepts. Part Two: Algebraic/Transcendental Equations. 3.?Numerical Solution for Colebrook Equation. Part Three: Ordinary Differential Equations?(ODEs) (Single and System). 4. Velocity Distribution in Smooth Uniform Open Channel Flow. 5. Sediment Concentration Distribution in Open-Channel Flow. 6. Richards Equation Under Gravity-Driven Infiltration and Constant Rainfall Intensity. 7. Error Equation for Unsteady Uniform Flow. 8. Spatially Varied Flow Equations. 9. Modeling of Nonlinear Reservoir. 10. Nonlinear Muskingum Method for Flood Routing. 11. Velocity and Sediment Concentration Distribution?in Open Channel Flow. Part Four: Partial Differential Equations (PDES) (Single and System). 12. Unsteady Confined Radial Ground-Water Flow Equation. 13. Series Solutions for?Burger's Equations. 14. Diffusive Wave Flood Routing Problem with Lateral Inflow. 15. Kinematic Wave Equation. 16. Multispecies Convection-Dispersion Transport Equation with Variable Parameters. Part Five: Integro-Differential Equations. 17. Absorption Equation in Unsaturated Soil....
Sommaire:
Exploring the concept of homotopy from topology, different 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 applicability of these methods to water engineering problems....
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