A numerical technique based on the spectral method is presented for the solution of
nonlinear Volterra–Fredholm–Hammerstein integral equations. This method is a …

A novel approximate technique based on Wiener path integrals (WPIs) is developed for
determining, in a computationally efficient manner, the non-stationary joint response …

This paper describes two numerical methods based on radial basis functions (RBFs) for
solving the time-dependent linear and nonlinear Fokker–Planck equations in two …

Images taken and stored digitally are often degraded by noise, so that the perceived image
quality is significantly decreased in the presence of noise and human gaze behavior is …

We solve high-dimensional steady-state Fokker-Planck equations on the whole space by
applying tensor neural networks. The tensor networks are a tensor product of one …

In this study, we provide a new method, namely the Generalized Pseudospectral Method
(GPM), for solving the linear and nonlinear ordinary/partial differential equations. Initially, we …

This paper attempts to present a meshless method to find the optimal control of a parabolic
distributed parameter system with a quadratic cost functional. The method is based on radial …

For the first time in mathematical finance field, we propose the local weak form meshless
methods for option pricing; especially in this paper we select and analysis two schemes of …

In this research, a new numerical method is applied to investigate the nonlinear controlled
Duffing oscillator. This method is based on the radial basis functions (RBFs) to approximate …

In this research paper, we propose a novel approach that combines deep Q-networks with
context-free grammars to solve differential equations symbolically. Our method utilizes the …