Read online book Davood Domairry Ganji - Differential Transformation Method for Mechanical Engineering Problems PDF, EPUB, FB2
9780128053409 English 0128053402 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, The Differential Transformation Method (DTM) constructs an analytical solution in the form of a polynomial. In contrast to the traditional higher-order Taylor series method, DTM is not computationally expensive for large orders. The main advantage of this method is that it can be applied directly to nonlinear differential equations without requiring linearization or discretization and therefore, it is not affected by errors associated with discretization. This is the first book to focus 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 Hybrid Differential Transformation Method and Finite Difference Method (Hybrid DTM-FDM). It is then shown that 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. Differential transformation method holds an advantage over higher-order Taylor series methods in that it can be applied directly to nonlinear differential equations without linearization or discretization 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 Includes numerous examples and exercises which will help the reader fully grasp the practical applications of these new methods
9780128053409 English 0128053402 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, The Differential Transformation Method (DTM) constructs an analytical solution in the form of a polynomial. In contrast to the traditional higher-order Taylor series method, DTM is not computationally expensive for large orders. The main advantage of this method is that it can be applied directly to nonlinear differential equations without requiring linearization or discretization and therefore, it is not affected by errors associated with discretization. This is the first book to focus 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 Hybrid Differential Transformation Method and Finite Difference Method (Hybrid DTM-FDM). It is then shown that 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. Differential transformation method holds an advantage over higher-order Taylor series methods in that it can be applied directly to nonlinear differential equations without linearization or discretization 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 Includes numerous examples and exercises which will help the reader fully grasp the practical applications of these new methods