Computational solutions for Eikonal equation bydifferential quadrature method

Abstract

This article presents an efficient method to solve of Eikonal equation by the new differ
ential quadrature method. The purpose of this article is to obtain the accuracy and performance
method for the Eikonal equation. We introduce a novel grid points to reduce errors and compared
them on different issues to accelerate convergence. The accuracy and stability of numerical results
for two and three-dimensional of the Eikonal equation are presented. In these numerical examples,
we investigate the stability of the proposed method by adding random noises. The new differential
quadrature method is a capable method for the some numerical examples and we evaluate the accu
racy and performance of our proposed method.
2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria
University. This is an open access article under the CC BY-NC-ND license