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2010 International Conference on Computer,Mechatronics, Control and Electronic Engineering (CMCE 2010)

作者： Luyue Xia College of Information Engineering,College of Chemical Engineering and Materials Science Zhejiang University of Technology Hangzhou,China Haitian Pan College of Chemical Engineering and Materials Science Zhejiang University of Technology Hangzhou,China

The modeling approach of stacked neural networks based on absolute error criteria is proposed,and applied to inferential estimation of polypropylene melt *** neural network model generalization capability can be significantly improved by using stacked neural network *** determination of the stacking weights is essential for good stacked neural networks model performance,so determination of appropriate weights for combining individual neural networks based on absolute error criteria is *** the purpose of comparison,single neural network models and stacked neural network models based on absolute error criteria are developed and *** application of the proposed modeling method to the development of melt index soft sensor in an industrial polypropylene polymerization plant demonstrates its effectiveness.

关键词： inferential estimation stacked neural networks melt index absolute error

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Trio-Geometric mean-based three-stage Runge–Kutta algorithm to solve initial value problem arising in autonomous systems

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International Journal of Modeling, Simulation, and Scientific Computing 2018年第4期9卷 83-94页

作者： Vijeyata Chauhan Pankaj Kumar Srivastava Department of Mathematics Jaypee Institute of Information Technology Noida-201304 India

In the present worldwide scenario,plenty of problems arising in science and engineering which can be modeled as differential equations and out of these,autonomous system has become a subject of great *** laws of physics in which time is considered as an independent variable are expressed as autonomous *** this paper,Runge–Kutta(RK)three-stage geometric mean method is used to solve the initial value problem arises in autonomous *** method is discussed in detail,convergence of method is discussed,the accuracy and efficiency of the method are proved by considering a numerical *** result is compared to some other methods and proposed method is found to be more *** detailed analysis of error estimation confirms that proposed method is more efficient as compared to other methods.

关键词： Autonomous IVP geometric mean absolute error explicit Runge-Kutta method.

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Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions

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Journal of Applied Mathematics and Physics 2016年第2期4卷 249-261页

作者： Parcha Kalyani Mihretu Nigatu Lemma School of Mathematical & Statistical Sciences Hawassa University Hawassa Ethiopia

In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at different step lengths. The approximate solution is compared with the solution obtained by eighth degree splines and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving high order linear boundary value problems.

关键词： Seventh Order Boundary Value Problem Boundary Value Problem Ninth Degree Spline Function absolute error

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Numerical Solution for Fractional Partial Differential Equation with Bernstein Polynomials

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Journal of Electronic Science and Technology 2014年第3期12卷 331-338页

作者： Jin-Sheng Wang Li-Qing Liu Yi-Ming Chen Xiao-Hong Ke Institute of School of Continuing Education Yanshan University Institute of College of Science Yanshan University

A framework to obtain numerical solution of the fractional partial differential equation using Bernstein polynomials is presented. The main characteristic behind this approach is that a fractional order operational matrix of Bernstein polynomials is derived. With the operational matrix, the equation is transformed into the products of several dependent matrixes which can also be regarded as the system of linear equations after dispersing the variable. By solving the linear equations, the numerical solutions are acquired. Only a small number of Bernstein polynomials are needed to obtain a satisfactory result. Numerical examples are provided to show that the method is computationally efficient.

关键词： absolute error Bernstein polynomials fractional partial differential equation numerical solution operational matrix

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