Title

A Comparison Study of the LMAPS Method and the LDQ Method For Time-Dependent Problems

Document Type

Article

Publication Date

9-2-2013

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

This paper compares numerical solutions of spatial-temporal partial differential equations based on two RBF-based meshless methods: the local method of approximate particular solutions (LMAPS) and the local RBFs-based DQ method (LDQ). To avoid the ill-conditioned problems of the global version, the weighting coefficients at the supporting points are determined by solving low-order linear systems instead of large dense linear systems. The Runge-Kutta method is adopted for time stepping schemes. The numerical experiments have shown that the LMPAS method and the LDQ method are capable of solving the initial boundary value problem for spatial-temporal partial differential equations with high accuracy and efficiency. © 2013 Elsevier Ltd.

Publication Title

Engineering Analysis with Boundary Elements

Volume

37

Issue

11

First Page

1408

Last Page

1415

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