Solution of Definite Integrals using Functional Link Artificial Neural Networks
About
This paper discusses a new method to solve definite integrals using artificial neural networks. The objective is to build a neural network that would be a novel alternative to pre-established numerical methods and with the help of a learning algorithm, be able to solve definite integrals, by minimising a well constructed error function. The proposed algorithm, with respect to existing numerical methods, is effective and precise and well-suited for purposes which require integration of higher order polynomials. The observations have been recorded and illustrated in tabular and graphical form.
Satyasaran Changdar, Snehangshu Bhattacharjee• 2019
Related benchmarks
| Task | Dataset | Result | Rank | |
|---|---|---|---|---|
| Numerical Integration | Definite integral of f(x) = x-1 over [0, 2] | Integral Value0.00e+0 | 2 | |
| Numerical Integration | Definite integral of f(x) = x^2 over [0, 2] | Integral Value2.66 | 2 | |
| Numerical Integration | Definite integral of f(x) = sqrt(1+x^2) over [0, 2] | Integral Value2.95 | 2 | |
| Numerical Integration | Definite integral of f(x) = sin x over [0, 2] | Integral Value1.29 | 2 | |
| Numerical Integration | Definite integral of f(x) = ln(x+1) over [0, 2] | Integral Value1.41 | 2 | |
| Numerical Integration | Definite integral of f(x) = 2^x over [0, 2] | Integral Value4.32 | 2 |
Showing 6 of 6 rows