This repository contains codes for implementing nonlinear Partial Differential Equations (PDEs). The accompanying PDF provides an overview of the numerical methods used to solve these nonlinear PDEs.

ABSTRACT: This research paper represents a numerical approximation to three interesting equations of Fisher, which are linear, non-linear and coupled linear one ...

Abstract: Vector analysis is a mathematical concept powerful enough to represent various theories, notions, and concepts under engineering and physics. This project focuses on specific operations in ...

The Pencil Code is a highly modular physics-oriented simulation code that can be adapted to a wide range of applications. It is primarily designed to solve partial differential equations (PDEs) of ...

The data and code for the paper One-shot learning for solution operators of partial differential equations, Nature Communications, 16, 8386, 2025. The code for training the local solution operators, ...

Abstract: This article presents a 32-bit floating-point (FP32) programmable accelerator for solving a wide range of partial differential equations (PDEs) based on numerical integration methods.