Nonlinear equation

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 of ebook "The finite element method for solid and structural mechanics (Seventh edition)" provides readers with contents including: Chapter 1 - General problems in solid mechanics and nonlinearity; Chapter 2 - Galerkin method of approximation, irreducible and mixed forms; Chapter 3 - Solution of nonlinear algebraic equations; Chapter 4 - Inelastic and nonlinear materials; Chapter 5 - Geometrically nonlinear problems, finite deformation; Chapter 6 - Material constitution for finite deformation; Chapter 7 - Material constitution using representative volume elements;...

310p giangmacvien 21-06-2024 0 0   Download

In this study two types of MEE plates, namely BaTiO3 and CoFe2O4 were considered. The basic equations are derived using classical plate theory with nonlocal stress theory and are solved using the Galerkin method and Runge-Kutta method.

13p viambani 18-06-2024 1 1   Download

Based on the quantum kinetic equation for electrons, we theoretically studied the Quantum Multi-photon Nonlinear Absorption of a Strong Electromagnetic Wave (EMW) in twodimensional graphene with electron-optical phonon scattering mechanism.

9p viambani 18-06-2024 3 1   Download

In this work, we design circular lattice photonic crystal fibers using Lumerical Mode Solution software, its hollow core filled with carbon tetrachloride. Optical properties including effective refractive index, chromatic dispersion, nonlinearity, and fiber loss were investigated numerically in detail based on solving Maxwell's wave equations.

14p viambani 18-06-2024 2 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

Ebook "Advanced mathematical methods for scientists and engineers" presents the following content: Algebra, calculus, functions of a complex variable, ordinary differential equations, partial differential equations, calculus of variations, nonlinear differential equations.

2143p zizaybay1103 29-05-2024 5 2   Download

Ebook Algebra know-it-all: Part 1 numbers, sets, and operations; part 2 linear equations and relations; part 3 nonlinear equations and relations; appendix a: worked-out solutions to exercises: chapters 1 to 9; appendix b: worked-out solutions to exercises: chapters 11 to 19; appendix c: worked-out solutions to exercises: chapters 21 to 29; appendix d: answers to final exam questions; appendix e: special characters in order of appearance.

746p zizaybay1103 29-05-2024 4 2   Download

Part 1 of ebook "Numerical methods using MATLAB® (Third edition)" provides readers with contents including: Chapter 1 - An introduction to Matlab®; Chapter 2 - Linear equations and eigensystems; Chapter 3 - Solution of nonlinear equations; Chapter 4 - Differentiation and integration; Chapter 5 - Solution of differential equations;...

289p dongmelo 20-05-2024 3 2   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

The paper "Nonlinear vibration of functionally graded porous micro-beams resting on elastic foundation" presents the analysis of nonlinear vibration of functionally graded porous (FGP) micro-beams resting on an elastic foundation. The Euler-Bernoulli beam theory (EBT) and the nonlocal strain gradient theory (NSGT) are considered to establish the equations of motion of the micro-beam. The material properties of the micro-beam are assumed to be changed continuously along thickness direction according to simple power-law distribution.

9p 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

In this paper, we consider a boundary value problem for a fully fourth-order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments. By the reduction of the problem to operator equation for the right-hand side nonlinear function, we establish the existence and uniqueness of the solution and construct iterative methods on both continuous and discrete levels for solving it.

14p dianmotminh02 03-05-2024 3 2   Download

In this study, we simulate submarine landslide using the one-dimensional conservative form of the nonlinear shallow water equations (NSWE) in (b s,) coordinate. Where b and s are the elevations of debris bottom and surface, respectively.

7p viohoyo 25-04-2024 5 2   Download

Ebook "Melt rheology and its applications in the plastics industry (Second edition)" provides all the information that is needed for the intelligent application of rheology in the development of new polymers, the determination of molecular structure and the correlation of processability with laboratory test data. Theory and equations are limited to what is essential for the use of rheology in the characterization of polymers, the development of new plastics materials and the prediction of plastics processing behavior.

292p coduathanh1122 27-03-2024 7 1   Download

Part 1 book "Numerical methods for chemical engineers with MATLAB applications" includes content: Numerical solution of nonlinear equations, numerical solution of simultaneous linear algebraic equations, finite difference methods and interpolation, numerical differentiation and integration.

282p muasambanhan09 12-03-2024 2 0   Download

Part 2 book "Numerical methods for chemical engineers with MATLAB applications" includes content: Numerical solution of ordinary differential equations; numerical solution of partial differential equations; linear and nonlinear regression analysis.

299p muasambanhan09 12-03-2024 3 0   Download

Part 2 book "Chemical and biomedical engineering calculations using python" includes content: Regression, nonlinear equations, statistics, numerical differentiation and integration, initial value problems, boundary value problems, partial differential equations, finite element method.

148p muasambanhan08 01-03-2024 3 2   Download

Part 2 book "Applied parameter estimation for chemical engineers" includes content: Gauss-Newton method for partial differential equation (PDE) models, statistical inferences, design of experiments, recursive parameter estimation, parameter estimation in nonlinear thermodynamic models - cubic equations of state, parameter estimation in nonlinear thermodynamic models - activity coefficients, parameter estimationin chemical reaction kinetic mode,... and other contents.

268p muasambanhan08 01-03-2024 4 1   Download