THERMAL SCIENCE
International Scientific Journal
A NOVEL NUMERICAL METHOD FOR HEAT EQUATION
ABSTRACT
A neural network computation is proposed to solve a heat equation, and an example is given to elucidate its simulation efficiency. The algorithm developed in this paper can be used as a paradigm for many other numerical applications.
KEYWORDS
PAPER SUBMITTED: 2015-12-10
PAPER REVISED: 2015-06-01
PAPER ACCEPTED: 2016-06-06
PUBLISHED ONLINE: 2016-08-13
THERMAL SCIENCE YEAR
2016, VOLUME
20, ISSUE
Issue 3, PAGES [1018 - 1021]
- Yan, S. P., Local Fractional Laplace Series Expansion Method for Diffusion Equation Arising in Fractal Heat Transfer, Thermal Science, 19 (2015), 1, pp. 131-135
- Liu, J. F., Modified Variational Iteration Method for Variant Boussinesq Equation, Thermal Science, 19 (2015), 4, pp. 1195-1199
- Qian, Y. H., Guo, Q. W., A New Derivative-Free Iterative Method for Solving Nonlinear Equations, Nonlinear Science Letters A, 7 (2016), 2, pp. 32-40
- Zhang, Y. Z., et al., Initial Boundary Value Problem for Fractal Heat Equation in the Semi-Infinite Region by Yang-Laplace Transform, Thermal Science, 18 (2014), 2, pp. 677-681
- Leung, H. F. F., et al., Tuning of the Structure and Parameters of a Neural Network Using an Improved Genetic Algorithm, IEEE Transaction on Neural Networks, 14 (2003), 1, pp. 79-88
- Zhang, J. R., et al., A Hybrid Particle Swarm Optimization-Back-Propagation Algorithm for Feedforward Neural Network Training, Applied Mathematics and Computation, 185 (2007), 2, pp. 1026-1037
- Zhao, Z., et al., Soft Sens ing of Coal Qual ity, Thermal Science, 19 (2015), 1, pp. 231-242
- Li, J. Y, et al., Numerical Solution of Elliptic Partial Differential Equation Using Radial Basis Function Neural Networks, Neural Networks, 16 (2003), 5-6, pp. 729-734