Numerical solution of several kinds of differential equations using block neural network method with improved extreme learning machine algorithm
暂无分享,去创建一个
Zhongchu Tian | Jianshu Luo | Muzhou Hou | Yunlei Yang | Jianshu Luo | Yunlei Yang | Zhongchu Tian | Muzhou Hou
[1] Anupam Yadav,et al. A New Disc Based Particle Swarm Optimization , 2011, SocProS.
[2] Feng Han,et al. Solving Partial Differential Equation Based on Bernstein Neural Network and Extreme Learning Machine Algorithm , 2018, Neural Processing Letters.
[3] Manoj Kumar,et al. Buckling analysis of a beam-column using multilayer perceptron neural network technique , 2013, J. Frankl. Inst..
[4] Chee Kheong Siew,et al. Extreme learning machine: Theory and applications , 2006, Neurocomputing.
[5] Chee Kheong Siew,et al. Universal Approximation using Incremental Constructive Feedforward Networks with Random Hidden Nodes , 2006, IEEE Transactions on Neural Networks.
[6] Kevin Stanley McFall. An artificial neural network method for solving boundary value problems: with arbitrary irregular boundary conditions , 2008 .
[7] Alaeddin Malek,et al. Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques , 2009, J. Frankl. Inst..
[8] Snehashish Chakraverty,et al. Single Layer Chebyshev Neural Network Model for Solving Elliptic Partial Differential Equations , 2016, Neural Processing Letters.
[9] Hongming Zhou,et al. Extreme Learning Machine for Regression and Multiclass Classification , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).
[10] Y. Shirvany,et al. Numerical solution of the nonlinear Schrodinger equation by feedforward neural networks , 2008 .
[11] Guang-Bin Huang,et al. Convex incremental extreme learning machine , 2007, Neurocomputing.
[12] Hong Chen,et al. Numerical solution of PDEs via integrated radial basis function networks with adaptive training algorithm , 2011, Appl. Soft Comput..
[13] O. Pironneau,et al. Finite Element Methods for Partial Differential Equations , 2009 .
[14] Lei Chen,et al. Enhanced random search based incremental extreme learning machine , 2008, Neurocomputing.
[15] Manoj Kumar,et al. Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: A survey , 2011, Comput. Math. Appl..
[16] Ivonne Sgura. A finite difference approach for the numerical solution of non-smooth problems for Boundary Value ODEs , 2014, Math. Comput. Simul..
[17] Euripidis Glavas,et al. Neural network construction and training using grammatical evolution , 2008, Neurocomputing.
[18] Euripidis Glavas,et al. Solving differential equations with constructed neural networks , 2009, Neurocomputing.
[19] Adriano Barra,et al. A new mechanical approach to handle generalized Hopfield neural networks , 2018, Neural Networks.
[20] Nabil Derbel,et al. Two coupled neural-networks-based solution of the Hamilton-Jacobi-Bellman equation , 2011, Appl. Soft Comput..
[21] D. Costarelli,et al. Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces , 2018 .
[22] Manoj Kumar,et al. An Introduction to Neural Network Methods for Differential Equations , 2015 .
[23] Anupam Yadav,et al. Artificial Neural Network Technique for Solution of Nonlinear Elliptic Boundary Value Problems , 2014, SocProS.
[24] Gang Chen,et al. An HDG method for distributed control of convection diffusion PDEs , 2017, J. Comput. Appl. Math..
[25] Allan Pinkus,et al. Multilayer Feedforward Networks with a Non-Polynomial Activation Function Can Approximate Any Function , 1991, Neural Networks.
[26] Ahmet Rizaner,et al. Approximate Solutions of Initial Value Problems for Ordinary Differential Equations Using Radial Basis Function Networks , 2017, Neural Processing Letters.
[27] Hadi Sadoghi Yazdi,et al. Unsupervised kernel least mean square algorithm for solving ordinary differential equations , 2011, Neurocomputing.