Multilayer feedforward networks are universal approximators
Neural Networks
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
Novel determination of differential-equation solutions: universal approximation method
Journal of Computational and Applied Mathematics
Fast Learning for Problem Classes Using Knowledge Based Network Initialization
IJCNN '00 Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN'00)-Volume 6 - Volume 6
Neural Networks - 2003 Special issue: Advances in neural networks research IJCNN'03
Adaptive Modeling of Biochemical Pathways
ICTAI '03 Proceedings of the 15th IEEE International Conference on Tools with Artificial Intelligence
Modelling the dynamics of nonlinear partial differential equations using neural networks
Journal of Computational and Applied Mathematics
Engineering Applications of Artificial Intelligence
Expert Systems with Applications: An International Journal
Adaptive intelligent hydro turbine speed identification with water and random load disturbances
Engineering Applications of Artificial Intelligence
Expert Systems with Applications: An International Journal
Using Uncorrupted Neighborhoods of the Pixels for Impulsive Noise Suppression With ANFIS
IEEE Transactions on Image Processing
Artificial neural networks for solving ordinary and partial differential equations
IEEE Transactions on Neural Networks
Neuro-fuzzy rule generation: survey in soft computing framework
IEEE Transactions on Neural Networks
A new stochastic approach for solution of Riccati differential equation of fractional order
Annals of Mathematics and Artificial Intelligence
Solving differential equations with Fourier series and Evolution Strategies
Applied Soft Computing
Hi-index | 0.00 |
There has been a growing interest in combining both neural network and fuzzy system, and as a result, neuro-fuzzy computing techniques have been evolved. ANFIS (adaptive network-based fuzzy inference system) model combined the neural network adaptive capabilities and the fuzzy logic qualitative approach. In this paper, a novel structure of unsupervised ANFIS is presented to solve differential equations. The presented solution of differential equation consists of two parts; the first part satisfies the initial/boundary condition and has no adjustable parameter whereas the second part is an ANFIS which has no effect on initial/boundary conditions and its adjustable parameters are the weights of ANFIS. The algorithm is applied to solve differential equations and the results demonstrate its accuracy and convince us to use ANFIS in solving various differential equations.