Monthly
288 pp. per issue
6 x 9, illustrated
ISSN
0899-7667
E-ISSN
1530-888X
2014 Impact factor:
2.21

Neural Computation

April 2022, Vol. 34, No. 4, Pages 971-990
(doi: 10.1162/neco_a_01482)
© 2022 Massachusetts Institute of Technology
Adaptive Learning Neural Network Method for Solving Time–Fractional Diffusion Equations
Article PDF (4.27 MB)
Abstract

A neural network method for solving fractional diffusion equations is presented in this letter. An adaptive gradient descent method is proposed to minimize energy functions. Due to the memory effects of the fractional calculus, the gradient of energy function becomes much more complicated, and we suggest a simplified method. Numerical examples with one-layer and two-layer neurons show the effectiveness of the method.