Numerical Solution of BVP on GPU with Application to Path Planning

Abstract

The problem of path planning in a virtual environment is a widely researched area, which finds application in fields such as robotics, simulations, and computer games. This article focuses on a comparison of numerical methods for solving partial differential equations with BVP on the GPU with NVIDIA CUDA, used in the path planning of virtual characters using the potential fields. The most commonly used methods for computing the potential fields on the GPU are compared in this article in terms of time consumption.