Homotopy-Based Methods in Water Engineering

Manotosh Kumbhakar · Vijay P. Singh

korr 2023 · CRC Press

Libër elektronik

470

Faqe

I përshtatshëm

Vlerësimet dhe komentet nuk janë të verifikuara Mëso më shumë

51% ulje çmimi më 16 jan

Rreth këtij libri elektronik

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 engineering

Describes the applicability of homotopy-based methods for solving nonlinear equations, particularly differential equations

Compares different approaches in dealing with issues of nonlinearity

Rreth autorit

Manotosh Kumbhakar is a Postdoctoral Researcher at National Taiwan University, Tawan. Previously, he was a Postdoctoral Research Associate at Texas A&M University, USA, from 2020-2021. He specializes in entropy theory, mechanics of sediment transport, and semi-analytical methods. Dr. Manotosh has published several papers in reputed international journals.

Vijay P. Singh, Ph.D., D.Sc., D. Eng. (Hon.), Ph.D. (Hon..), P.E., P.H., Hon. D. WRE, Dist.M. ASCE, NAE, is a Distinguished Professor, a Regents Professor, and Caroline & William N. Lehrer Distinguished Chair in Water Engineering in Department of Biological and Agricultural Engineering and Zachry Department of Civil & Environmental Engineering at Texas A&M University. He specializes in surface-water hydrology, groundwater hydrology, hydraulics, irrigation engineering, environmental and water resources engineering, entropy theory, and copula theory. Professor Singh has published extensively and has received 110 national and international awards, including three honorary doctorates. He is a member of National Academy of Engineering, and a fellow or member of 12 international engineering/science academies.

Vlerëso këtë libër elektronik

Na trego se çfarë mendon.

Informacione për leximin

Telefona inteligjentë dhe tabletë

Instalo aplikacionin "Librat e Google Play" për Android dhe iPad/iPhone. Ai sinkronizohet automatikisht me llogarinë tënde dhe të lejon të lexosh online dhe offline kudo që të ndodhesh.

Laptopë dhe kompjuterë

Mund të dëgjosh librat me audio të blerë në Google Play duke përdorur shfletuesin e uebit të kompjuterit.

Lexuesit elektronikë dhe pajisjet e tjera

Për të lexuar në pajisjet me bojë elektronike si p.sh. lexuesit e librave elektronikë Kobo, do të të duhet të shkarkosh një skedar dhe ta transferosh atë te pajisja jote. Ndiq udhëzimet e detajuara në Qendrën e ndihmës për të transferuar skedarët te lexuesit e mbështetur të librave elektronikë.

Raporto përmbajtjet e jashtëligjshme