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Solving nonlinear equations
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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
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Numerical investigation of optical properties in carbon tetrachloride-filled photonic crystal fibers
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
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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
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Ebook "Fundamentals of food process engineering (Third edition)" has been attributed to the expansive coverage of subject areas specified in the Institute of Food Technologists model curriculum for food science majors in the United States of America and the use of examples utilizing conditions encountered in actual food processing operations. This theme continues in the third edition.
585p
manmanthanhla0201
27-02-2024
6
2
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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
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Ebook "Dynamics of polymeric liquids - Volume 1: Fluid mechanics" summarizes the key experiments that show how polymeric fluids differ from structurally simple fluids, then presents, in rough historical order, various methods for solving polymer fluid dynamics problems.
670p
loivantrinh
29-10-2023
5
2
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Continued part 1, part 2 of ebook "Programming for computations – Python: A gentle introduction to numerical simulations with Python 3.6" provides readers with contents including: computing integrals and testing code; solving nonlinear algebraic equations; solving ordinary differential equations; solving partial differential equations; a installation and use of python;...
199p
tieulangtran
28-09-2023
10
4
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Continued part 1, part 2 of ebook "Programming for computations – MATLAB/Octave: A gentle introduction to numerical simulations with MATLAB/Octave" provides readers with contents including: solving ordinary differential equations; solving partial differential equations; solving nonlinear algebraic equations;...
128p
tieulangtran
28-09-2023
6
1
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Numerical method for solving the dirichlet boundary value problem for nonlinear triharmonic equation
In this work, we consider the Dirichlet boundary value problem for nonlinear triharmonic equation. Due to the reduction of the problem to operator equation for the pair of the right hand side function and the unknown second normal derivative of the function to be sought, we design an iterative method at both continuous and discrete levels for numerical solution of the problem.
11p
vimulcahy
18-09-2023
5
3
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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
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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
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Geometrically nonlinear free vibration of microbeams partially supported by a threeparameter nonlinear elastic foundation is studied in this paper. Equations of motion based on the modified couple stress theory (MCST) and a refined third-order shear deformation beam theory are derived using Hamilton’s principle, and they are solved by a finite element formulation.
16p
vidudley
20-02-2023
2
2
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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
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The vibration of the composite stiffened cylindrical shell with piezoelectric layers subjected to shock wave is presented in this paper. The differential equations which describe the nonlinear oscillation dynamic of the shell are solved by the Newton-Raphson iterative method in combination with the Newmark direct integration method. Numerical results are solved for the structures subjected to the effect of shock wave in MATLAB software. On the basis of the program, the effect of piezoelectric and stiffener on the nonlinear oscillation of the cylindrical composite shell are considered.
12p
cothumenhmong11
05-05-2021
14
1
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In this paper, we propose a method for investigating the solvability and iterative solution of coupled beams equations with fully nonlinear terms. Differently from other authors, we reduce the problem to an operator equation for the right-hand side functions. The advantage of the proposed method is that it does not require any Nagumo-type conditions for the nonlinear terms. Some examples, where exact solution of the problem are known or not, demonstrate the effectiveness of the obtained theoretical results.
22p
nguaconbaynhay11
07-04-2021
12
2
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A Hybrid Spline Difference Method is developed to solve a nonlinear equation of welding problem in ultrasonic welding. It is shown that the method has a computational procedure as simply as the finite difference method. In addition, the proposed method can simplify complexity of the traditional spline method calculation, and increase accuracy of the first and second derivatives of space from O(Tx 2 ) of finite difference method to O(Tx 4 ).
7p
chauchaungayxua11
23-03-2021
16
2
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In this paper, we study an improvement of the homotopy analysis method to find approximate solutions of nonlinear Fredholm integral equations of the second kind, which are of ulmost importance in applied and engineering.
5p
viwisconsin2711
22-01-2021
37
2
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The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.
27p
larachdumlanat129
20-01-2021
25
2
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In this paper, we propose and discuss numerical algorithms for solving a class of nonlinear differential-algebraic equations (DAEs). These algorithms are based on half-explicit Runge-Kutta methods (HERK) that have been studied recently for solving strangeness-free DAEs. The main idea of this work is to use the half-explicit variants of some well-known embedded Runge-Kutta methods such as Runge-Kutta-Fehlberg and Dormand-Prince pairs. Thus, we can estimate local errors and choose suitable stepsizes accordingly to a given tolerance.
16p
trinhthamhodang9
10-12-2020
17
0
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Numerical solutions of the chemical master equation (CME) are important for understanding the stochasticity of biochemical systems. However, solving CMEs is a formidable task. This task is complicated due to the nonlinear nature of the reactions and the size of the networks which result in different realizations.
42p
vikentucky2711
24-11-2020
8
1
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