In this paper, a new Fourier-differential transform method (FDTM) based on differential transformation method (DTM) is proposed. The method can effectively and quickly solve linear and nonlinear ...

Initial value ordinary differential equations arise in formulation of problems in various fields such as physics and Engineering. The present paper shows the method how to solve the initial value ...

Abstract: In this paper, the existence and uniqueness results of solution for an initial value problem of fractional differential equations with a new concept of fractional derivative in the case of ...

Abstract: Monte Carlo method was a new numerical method different from traditional method. It was based on probability and statistics theory, so it was also called as random sampling or statistical ...

This project provides JAX/Flax implementations of Fourier Neural Operators (FNOs) for solving partial differential equations (PDEs), along with a JAX-based initial-value problem (IVP) solver that can ...

If today's college students could find a way to get their hands on a copy of Facebook's latest neural network, they could cheat all the way through Calc 3. They could even solve the differential ...

A library built to replicate the TorchDiffEq library built for the Neural Ordinary Differential Equations paper by Chen et al, running entirely on Tensorflow Eager Execution. All credits for the ...

Approximate solutions to more complex equations can be found using a process called iteration. Iteration means repeatedly carrying out a process. To solve an equation using iteration, start with an ...