Differential Transformation Method For Mechanical Engineering Problems

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Differential Transformation Method For Mechanical Engineering Problems

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Author : Mohammad Hatami
language : en
Publisher: Academic Press
Release Date : 2016-11-17

Differential Transformation Method For Mechanical Engineering Problems written by Mohammad Hatami and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-17 with Computers categories.

Differential Transformation Method for Mechanical Engineering Problems focuses on applying DTM to a range of mechanical engineering applications. The authors modify traditional DTM to produce two additional methods, multi-step differential transformation method (Ms-DTM) and the hybrid differential transformation method and finite difference method (Hybrid DTM-FDM). It is then demonstrated how these can be a suitable series solution for engineering and physical problems, such as the motion of a spherical particle, nanofluid flow and heat transfer, and micropolar fluid flow and heat transfer. - Presents the differential transformation method and why it holds an advantage over higher-order Taylor series methods - Includes a full mathematical introduction to DTM, Ms-DTM, and Hybrid DTM - Covers the use of these methods for solving a range of problems in areas such as nanofluid flow, heat transfer, and motion of a spherical particle in different conditions - Provides numerous examples and exercises which will help the reader fully grasp the practical applications of these new methods

Applied Engineering Analysis

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Author : Tai-Ran Hsu
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-30

Applied Engineering Analysis written by Tai-Ran Hsu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-30 with Technology & Engineering categories.

A resource book applying mathematics to solve engineering problems Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls. Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors. Key features: Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems. Examples and problems of a practical nature with illustrations to enhance student’s self-learning. Numerical methods and techniques, including finite element analysis. Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC). Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.

Applications Of Differential Transform To Real World Problems

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Author : Yogeshwari F Patel
language : en
Publisher: CRC Press
Release Date : 2022-08-08

Applications Of Differential Transform To Real World Problems written by Yogeshwari F Patel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-08 with Mathematics categories.

This book is an invaluable resource for applied researchers to find the analytical solution of differential equations describing the dynamical system with less computational effort and time. It describes the basic concepts of the differential transform method and solution of various real-world problems described by simple to complicated differential equations. It provides a computational technique that is not only conceptually simple and easy to use but also readily adaptable for computer coding. Different chapters of the book deal with the basic differential equations involved in the physical phenomena as well as a complicated system of differential equations described by the mathematical model. The book offers comprehensive coverage of the most essential topics, including Basic concepts and fundamental properties of the proposed technique with proof The solution of linear, nonlinear, homogeneous, and nonhomogeneous ordinary differential equations (ODEs) and partial differential equations (PDEs) The initial and boundary value problems Real-world ODE and PDE problems are also discussed Applications of Differential Transform to Real World Problems is primarily aimed at undergraduates, graduates, and researchers studying differential equations. Scientists dealing with complicated differential equations or systems of differential equations will also find this book useful.

Recent Advancements In Computational Intelligence And Design Engineering

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Author : Dac-Nhuong Le
language : en
Publisher: CRC Press
Release Date : 2025-02-14

Recent Advancements In Computational Intelligence And Design Engineering written by Dac-Nhuong Le and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-14 with Technology & Engineering categories.

International Conference on Computational Intelligence and Design Engineering (ICCIDE 2023) is a multidisciplinary conference focused on bringing together recent advancements in the field of engineering, computer science and Mathematics. The key features of the conference include a common platform for research and innovation work related to next generation computation, Mathematics in computation as well as engineering research to achieve industry 5.0 mission. The conference covers different aspects of science and technology like applications of AI and ML for sustainable manufacturing and production systems, computational modelling, mathematics and computing.

Boundary Elements And Other Mesh Reduction Methods Xlii

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Author : Cheng, A. H-D
language : en
Publisher: WIT Press
Release Date : 2019-09-13

Boundary Elements And Other Mesh Reduction Methods Xlii written by Cheng, A. H-D and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-13 with Mathematics categories.

Originating from the 42nd conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), the research presented in this book consist of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.

Group Invariance In Engineering Boundary Value Problems

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Author : R. Seshadri
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Group Invariance In Engineering Boundary Value Problems written by R. Seshadri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

REFEREN CES . 156 9 Transforma.tion of a Boundary Value Problem to an Initial Value Problem . 157 9.0 Introduction . 157 9.1 Blasius Equation in Boundary Layer Flow . 157 9.2 Longitudinal Impact of Nonlinear Viscoplastic Rods . 163 9.3 Summary . 168 REFERENCES . . . . . . . . . . . . . . . . . . 168 . 10 From Nonlinear to Linear Differential Equa.tions Using Transformation Groups. . . . . . . . . . . . . . 169 . 10.1 From Nonlinear to Linear Differential Equations . 170 10.2 Application to Ordinary Differential Equations -Bernoulli's Equation . . . . . . . . . . . 173 10.3 Application to Partial Differential Equations -A Nonlinear Chemical Exchange Process . 178 10.4 Limitations of the Inspectional Group Method . 187 10.5 Summary . 188 REFERENCES . . . . 188 11 Miscellaneous Topics . 190 11.1 Reduction of Differential Equations to Algebraic Equations 190 11.2 Reduction of Order of an Ordinary Differential Equation . 191 11.3 Transformat.ion From Ordinary to Partial Differential Equations-Search for First Integrals . . . . . . " 193 . 11.4 Reduction of Number of Variables by Multiparameter Groups of Transformations . . . . . . . . .. . . . 194 11.5 Self-Similar Solutions of the First and Second Kind . . 202 11.6 Normalized Representation and Dimensional Consideration 204 REFERENCES .206 Problems . 208 .220 Index .. Chapter 1 INTRODUCTION AND GENERAL OUTLINE Physical problems in engineering science are often described by dif ferential models either linear or nonlinear. There is also an abundance of transformations of various types that appear in the literature of engineer ing and mathematics that are generally aimed at obtaining some sort of simplification of a differential model.

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1975

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mechanics, Applied categories.

University Of Michigan Official Publication

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Author :
language : en
Publisher: UM Libraries
Release Date : 1960

University Of Michigan Official Publication written by and has been published by UM Libraries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Education, Higher categories.

General Register

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Author : University of Michigan
language : en
Publisher:
Release Date : 1938

General Register written by University of Michigan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with Detroit (Mich.) categories.

Announcements for the following year included in some vols.

Catalogue Of The University Of Michigan

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Author : University of Michigan
language : en
Publisher:
Release Date : 1939

Catalogue Of The University Of Michigan written by University of Michigan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1939 with categories.

Announcements for the following year included in some vols.