Direct meshless kernel techniques for time-dependent equations

ISSN
1873-5649
0096-3003
Date Issued
2015
Author(s)
Hong, Yun-Chul
DOI
10.1016/j.amc.2014.12.140
Abstract
We provide a class of positive definite kernels that allow to solve certain evolution equations of parabolic type for scattered initial data by kernel-based interpolation or approximation, avoiding time intergation completely. Some numerical illustrations are given. (C) 2015 Elsevier Inc. All rights reserved.