A highly accurate nonlinear analytical algorithm to

A highly accurate nonlinear analytical algorithm to

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Our Best A highly accurate nonlinear analytical algorithm to Products

Highly accurate and simple analytical approach to

Highly accurate and simple analytical approach to nonlinear PoissonBoltzmann equation S. Zhou 1 & G. Zhang 1 Colloid and Polymer Science volume 291, pages 879 891 (2013)Cite this article ...

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A highly accurate backward-forward algorithm for multi

A highly accurate backward-forward algorithm for multi-dimensional backward heat conduction problems in fictitious time domain. BFTIM and FFTIM do not require the selection of parameters, such as the viscosity-damping coefficient, fictitious time step, initial

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A modified parametric iteration method for solving

1 Introduction In this paper, we investigate the approximate analytical solution of the nonlinear second order BVPs of the type (with this assumption that the problem has the unique solution on [a, b]) by a new easy-to-use algorithm proposed in this work, which is ...

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Highly Accurate Analytic Approximation to the Gaussian

1/10/2013· Highly Accurate Analytic Approximation to the Gaussian Q-function Based on the Use of Nonlinear Least Squares Optimization Algorithm Article in Journal of Optimization Theory and Applications 159 ...

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Analytical Solution of a Nonlinear Index-Three DAEs

The slider-crank mechanism (SCM) is one of the most important mechanisms in modern technology. It appears in most combustion engines including those of automobiles, trucks, and other small engines. The SCM model considered here is an index-three nonlinear system of differential-algebraic equations (DAEs), and therefore difficult to integrate numerically. In this work, we present the ...

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A Highly Accurate Algorithm for Nonlinear Numerical

6/10/2017· Abstract A highly accurate nonlinear analytical algorithm to simulate the behavior of reinforced concrete (RC) columns under monotonic biaxial bending moment and axial loading is proposed. Rodrigues H, Furtado A, Arêde A (2016) Behavior of rectangular reinforced ...

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A highly accurate algorithm for the solution of the point

From the fundamental backward Euler difference scheme, a highly accurate algorithm, called PKE/BEFD, for the numerical solution of the reactor point kinetics equations has emerged. Such an algorithm has eluded practitioners in the quest for faster, cheaper

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[1105.5331] A Nonlinear GMRES Optimization

The resulting nonlinear GMRES (N-GMRES) optimization algorithm is applied to dense and sparse tensor decomposition test problems. The numerical tests show that ALS accelerated by N-GMRES may significantly outperform both stand-alone ALS and a standard nonlinear conjugate gradient optimization method, especially when highly accurate stationary points are desired for difficult problems.

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A hybrid analytical algorithm for nonlinear fractional wave

1/1/2019· In the present article, we apply a numerical scheme, namely, homotopy analysis Sumudu transform algorithm, to derive the analytical and numerical solutions of a nonlinear

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A highly accurate Voigt function algorithm Request PDF

The function is based on a newly developed accurate algorithm. In addition to its higher accuracy, the software provides a flexible accuracy vs efficiency trade-off through a controlling parameter ...

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A Strongly A-Stable Time Integration Method for Solving

The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly stiff. Therefore numerical time integration methods with stiff stability such as implicit Runge-Kutta methods and implicit multistep methods are ...

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Fourier Pseudospectral Solution for a 2D Nonlinear

We apply a Fourier pseudospectral algorithm to solve a 2D nonlinear paraxial envelope-equation of laser interactions in plasmas. In this algorithm, we first use the second order Strang time-splitting method to split the envelope-equation into a number of equations ...

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A Mathematica program for the approximate analytical

1/3/2006· But for nonlinear differential equations such as Duffing equation, it is very difficult to construct higher-order analytical approximations, ... and produces a highly accurate solution with analytical expression efficiently. It is interesting to find that, generally, for a a ...

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A Mathematica program for the approximate analytical

But for nonlinear differential equations such as Duffing equation, it is very difficult to construct higher-order analytical approximations, because the HB method requires solving a set of algebraic equations for a large number of unknowns with very complex

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A Stable and Efficient Algorithm for Nonlinear

One of the most widely used methodologies in scientific and engineering research is the fitting of equations to data by least squares. In cases where significant observation errors exist in the independent variables as well as the dependent variables, however, the ...

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Highly Accurate Analytical Approximate Solution to a

16/1/2017· A second-order Newton method is presented to construct analytical approximate solutions to a nonlinear pseudo-oscillator in which the restoring force is inversely proportional to the dependent ...

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A novel class of highly efficient and accurate time-integrators in nonlinear

Comput Mech DOI 10.1007/s00466-017-1377-4 ORIGINAL PAPER A novel class of highly efficient and accurate time-integrators in nonlinear computational mechanics Xuechuan Wang1,2 · Satya N. Atluri2 Received: 10 October 2016 / Accepted: 11 January 2017

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Nonlinear system - Wikipedia

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear

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A pertinent approach to solve nonlinear fuzzy integro

14/4/2016· A pertinent approach to solve nonlinear fuzzy integro-differential equations. Narayanamoorthy S(1), Sathiyapriya SP(1). Author information: (1)Department of Mathematics, Bharathiar University, Coimbatore, TamilNadu 641046 India.

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Solve system of nonlinear equations - MATLAB fsolve

The Algorithm option specifies a preference for which algorithm to use. It is only a preference because for the trust-region algorithm, the nonlinear system of equations cannot be underdetermined; that is, the number of equations (the number of elements of F funx.

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Image Formation Algorithm for Asymmetric Bistatic SAR

Abstract: This paper proposes a highly accurate bistatic range migration algorithm (RMA) for space-surface bistatic synthetic aperture radar (BiSAR) systems with asymmetric configurations when the transmitter moves along a rectilinear trajectory and the receiver stays at a fixed location. ...

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A Highly Accurate, Optical Flow -Based Algorithm for Nonlinear

A Highly Accurate, Optical Flow -Based Algorithm for Nonlinear Spatial Normalization of Diffusion Tensor Images Ying Wen, Bradley S. Peterson, Dongrong Xu M Proceedings of International Joint Conference on Neural Networks, Dallas, Texas, USA, August 4 ...

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On the Bivariate Spectral Homotopy Analysis Method

This paper presents a new application of the homotopy analysis method (HAM) for solving evolution equations described in terms of nonlinear partial differential equations (PDEs). The new approach, termed bivariate spectral homotopy analysis method (BISHAM), is based on the use of bivariate Lagrange interpolation in the so-called rule of solution expression of the HAM algorithm. The ...

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A highly computational efficient method to solve

In this paper, a new analytical technique, called the Optimal Homotopy Perturbation Method (OHPM), is suggested to solve a class of nonlinear Optimal Control Problems (OCPs). Applying the OHPM to a nonlinear OCP, the nonlinear Two-Point Boundary Value ...

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(PDF) Analytical solution of strongly nonlinear Duffing

1/2/2016· Highly accurate result and simple solution procedure are advantages of this proposed method, which could be applied to other nonlinear oscillatory problems arising in nonlinear science and ...

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Direct application of Padé approximant for solving

Abstract This work presents a direct procedure to apply Padé method to find approximate solutions for nonlinear differential equations. Moreover, we present some cases study showing the strength of the method to generate highly accurate rational approximate solutions compared to other semi-analytical

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A Simple Local Variational Iteration Method and Related

A very simple and efficient local variational iteration method for solving problems of nonlinear science is proposed in this paper. The analytical iteration formula of this method is derived first using a general form of first order nonlinear differential equations, followed by straightforward discretization using Chebyshev polynomials and collocation method. The resulting numerical algorithm ...

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A Simple Local Variational Iteration Method and Related

The analytical iteration formula of this method is derived first using a general form of first order nonlinear differential equations, followed by straightforward discretization using Chebyshev polynomials and tingcollocation method. The resul numerical algorithm is very

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Homotopy analysis method - Wikipedia

The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solution for nonlinear systems. This is enabled by utilizing a homotopy-Maclaurin series to deal with the ...

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A truncated Levenberg-Marquardt algorithm for the

15/10/2010· @article{osti_1005169, title = {A truncated Levenberg-Marquardt algorithm for the calibration of highly parameterized nonlinear models}, author = {Finsterle, S. and Kowalsky, M.B.}, abstractNote = {We propose a modification to the Levenberg-Marquardt minimization algorithm for a more robust and more efficient calibration of highly parameterized, strongly nonlinear models of

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Highly Accurate Solutions of the Blasius and Falkner-Skan

Highly Accurate Solutions of the Blasius and Falkner-Skan Boundary Layer Equations via Convergence Acceleration B.D. Ganapol Department of Aerospace and Mechanical Engineering University of Arizona ABSTRACT A new highly accurate algorithm for the

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On the accurate discretization of a highly nonlinear

9/12/2017· The aim of this manuscript is to investigate an accurate discretization method to solve the one-, two-, and three-dimensional highly nonlinear Bratu-type problems. By discretization of the nonlinear equation via a fourth-order nonstandard compact finite difference formula, the considered problem is reduced to the solution of a highly nonlinear algebraic system. To solve the derived nonlinear ...

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