Nonlinear equations system

Part 2 of ebook "Methods of mathematical modelling: Continuous systems and differential equations" provides readers with contents including: Chapter 5 - Self-similar scaling solutions of differential equations; Chapter 6 - Perturbation methods; Chapter 7 - Boundary layer theory; Chapter 8 - Long-wave asymptotics for PDE problems; Chapter 9 - Weakly-nonlinear oscillators; Chapter 10 - Fast/slow dynamical systems; Chapter 11 - Reduced models for PDE problems;...

186p daonhiennhien 03-07-2024 1 1   Download

Part 1 book "Hybrid systems, optimal control and hybrid vehicles - Theory, methods and applications" includes content: Introduction, introduction to nonlinear programming, hybrid systems and hybrid optimal control, the minimum principle and hamilton - jacobi - bellman equation; discretization and integration schemes for hybrid optimal control problems; dynamic programming; indirect methods for optimal control.

257p dianmotminh03 11-06-2024 2 1   Download

In this paper, geometrical nonlinear flutter analysis of functionally graded carbon nanotubes reinforced composite plates is presented. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity. The linear piston theory is utilized to determine the aerodynamic pressure. Applying the Hamilton principle, equations of motion of a system are derived in the matrix form, and then the finite element method is used to obtain the discretized equations.

11p dathienlang1012 03-05-2024 5 0   Download

The paper "Dynamic analysis of stiffened functionally graded composite plates reinforced by carbon nanotubes under blast loading" presents a study of the geometrical nonlinear dynamic of stiffened functionally graded composite plates reinforced by carbon nanotubes (SFG-CNTRC) subjected to blast loading. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity.

11p dathienlang1012 03-05-2024 1 0   Download

An analytical approach of nonlinear buckling and postbuckling analysis of core-corrugated functionally graded carbon nanotubes reinforced composite (FG- CNTRC) cylindrical panels under axial compression is presented in the present study. A homogenization technique is applied for the corrugated core with thermal effects. The nonlinear stability equation system of panels is formulated by using the Donnell thin shell theory with the von Kármán geometrical nonlinearities.

9p dathienlang1012 03-05-2024 2 0   Download

Part 2 book "Advanced engineering mathematics" includes content: Vectors; matrices; vector cal; systems of linear differential equations; systems of nonlinear differential equationsculus; orthogonal functions and fourier series; boundary value problems in rectangular coordinates; boundary value problems in other coordinate systems; integral transform method; numerical solutions of partial differential equations; functions of a complex variable; integration in the complex plane; series and residues; conformal mappings.

438p muasambanhan06 01-02-2024 2 1   Download

Part 2 book "Advanced engineering mathematics" includes content: Systems of linear differential equations; systems of nonlinear differential equations; orthogonal functions and fourier series; boundary value problems in rectangular coordinates; boundary value problems in other coordinate systems; integral transform method; numerical solutions of partial differential equations; unctions of a complex variable; integration in the complex plane; series and residues; conformal mappings.

438p muasambanhan06 03-02-2024 6 1   Download

Ebook "Nonlinear hamiltonian mechanics applied to molecular dynamics: Theory and computational methods for understanding molecular spectroscopy and chemical reactions" presents numerical methods for describing and calculating invariant phase space structures, as well as solving the classical and quantum equations of motion for polyatomic molecules. Examples covered include simple model systems to realistic cases of molecules spectroscopically studied.

165p nhanphanguyet 28-01-2024 6 2   Download

Part 2 book "In differential equations in differential equations" includes content: Systems of differential equations, linear systems and matrices, nonlinear systems, references, computer algebra systems, practice test questions, solutions and hints to selected exercises.

194p muasambanhan05 16-01-2024 3 0   Download

In this paper, we present a new improvement of the third-order Newton-Krylov method with a quaternary convergence rate and prove the convergence of the iterative formula. In addition, the paper also presents an experimental result to demonstrate the convergence speed of the method.

9p viberkshire 09-08-2023 7 4   Download

The theory of differential equations has been widely known and developed in recent years. One of the issues that many authors give their undivided attention to is the stability boundary of nonlinear dynamical systems.

13p viberkshire 09-08-2023 5 3   Download

Free vibration of a silicon microbeam in micro-electromechanical systems (MEMS) subjected to electrostatic and axial forces is studied in the framework of a sinusoidal shear deformation theory. A nonlinear finite element formulation based on the von Kármán nonlinear assumption and the modified couple stress theory (MCST) is formulated and employed to establish the discrete nonlinear governing equations for the microbeam.

13p viannee 02-08-2023 7 3   Download

This article presents the pseudospectral method to calculate numerical solutions for nonlinear Duffing differential equations on the interval [–1, 1]. This method is based on the differential matrix using the Chebyshev Gauss – Lobatto points. To find numerical solutions of the nonlinear Duffing differential equations, we have built an iterative procedure. The software is used in calculating in this study is Mathematica 10.4. The obtained results show that this method has high accuracy with very small errors.

9p nhanchienthien 25-07-2023 4 3   Download

Ebook Econometric analysis (Fifth edition): Part 1 includes contents: Chapter 1 introduction, chapter 2 the classical multiple linear regression model, chapter 3 least squares, chapter 4 finite-sample properties of the least squares estimator, chapter 5 large-sample properties of the least squares and instrumental variables estimators, chapter 6 inference and prediction, chapter 7 functional form and structural change, chapter 8 specification analysis and model selection, chapter 9 nonlinear regression models, chapter 10 nonspherical disturbances - the generalized regression model, chapter ...

402p haojiubujain03 24-07-2023 10 4   Download

Ebook "Numerical methods and optimization: A consumer guide" makes it possible for the reader to discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems; understand the principles behind recognized algorithms used in state-of-the-art numerical software; learn the advantages and limitations of these algorithms, to facilitate the choice of which pre-existing bricks to assemble for solving a given problem; and acquire methods that allow a critical assessment of num...

485p tukhongthienlac 24-06-2023 8 2   Download

The nonlinear kinematic wave model is developed from the Saint Venant system of equations, which includes a nonlinear kinematic wave program that solves the system of equations by Newton's iterative method and a linear kinematic wave program for calculations initial flow value. The developed model is tested with sample problems and compared with the simulation results by Mike 11 model on Tra Khuc river.

13p viironman 02-06-2023 7 3   Download

Ebook College algebra (3rd edition): Part 1 includes the following content: Chapter 4: polynomial and rational functions; chapter 5: exponential and logarithmic functions; chapter 6: systems of linear equations and inequalities; chapter 7: matrices; chapter 8: conics and systems of nonlinear equations and inequalities; chapter 9: sequences, series, and probability. Please refer to the documentation for more details.

422p runthenight03 07-12-2022 13 6   Download

In this paper, we propose an extension of parameter continuation method for solving perturbed systems of nonlinear equations. The existence and uniqueness of the solution will be investigated. We also discuss error analysis of the method. The validity and applicability of the method is verified by an example.

5p viharry 15-12-2022 11 3   Download

The theory of differential equations has been widely known and developed in recent years. Many researchers have drawn attention to the problem of finding the stability region of a nonlinear dynamical system in technical models, which is a complicated issue in the stability theory of dynamical systems.

13p viwmotors 02-12-2022 11 4   Download

Theoretical results for the AME field is numerically evaluated, plotted and discussed for the specific CQWIP AlGaAs/GaAs. The result shows that the dependence of the AME field on the temperature of the system is nonlinear. These results are compared with those of normal bulk semiconductors and quantum well to show the difference.

3p vispyker 16-11-2022 8 3   Download