NNC: A tool based on Grammatical Evolution for data classification and differential equation solving

A method for solving first order fuzzy differential equation

A Note on Solving Prandtl's Integro-Differential Equation

A simple method for solving Prandtl's integro-differential equation is proposed based on a new reproducing kernel space. Using a transformation and modifying the traditional reproducing kernel method, the singular term is removed and the analytical representation of the exact solution is obtained in the form of series in the new reproducing kernel space. Compared with known investigations, its ...

Wavelet‎-based numerical ‎method‎ ‎‎‎‎for solving fractional integro-differential equation with a weakly singular ‎kernel

This paper describes and compares application of wavelet basis and Block-Pulse functions (BPFs) for solving fractional integro-differential equation (FIDE) with a weakly singular kernel‎. ‎First‎, ‎a collocation method based on Haar wavelets (HW)‎, ‎Legendre wavelet (LW)‎, ‎Chebyshev wavelets (CHW)‎, ‎second kind Chebyshev wavelets (SKCHW)‎, ‎Cos and Sin wavelets (CASW) and BPFs are presented f...

Solving Classification and Curve Fitting Problems Using Grammatical Evolution

Grammatical Evolution is related to the idea of genetic programming in that the objective is to find an executable program or function. GE offers a solution by evolving solutions according to a user specified grammar (BackusNaur Form). In this paper GE is used to construct a classifier for some well known datasets. and curve fitting problems without the need to assume the equation shape.

A meshless discrete Galerkin method for solving the universe evolution differential equations based on the moving least squares approximation

In terms of observational data, there are some problems in the standard Big Bang cosmological model. Inflation era, early accelerated phase of the evolution of the universe, can successfully solve these problems. The inflation epoch can be explained by scalar inflaton field. The evolution of this field is presented by a non-linear differential equation. This equation is considered in FLRW model...