Meshless and Multi-Resolution Collocation Techniques for Steady State Interface Models

被引：7

作者：

Aziz, Imran ^{[1
]}

Siraj-ul-Islam ^{[2
]}

Haider, Nadeem ^{[1
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar, Pakistan

[2] Univ Engn & Technol, Dept Basic Sci, Peshawar, Pakistan

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2018年 / 15卷 / 01期

关键词：

Haar wavelet; meshless method; radial basis functions; elliptic models; single interface conditions; double interface conditions; POSITIVE-DEFINITE FUNCTIONS; FINITE-ELEMENT METHODS; HAAR WAVELET APPROACH; GHOST FLUID METHOD; ELLIPTIC-EQUATIONS; BOUNDARY METHOD; DISCONTINUOUS COEFFICIENTS; NUMERICAL-SOLUTION; MATCHED INTERFACE; SINGULAR SOURCES;

D O I：

10.1142/S0219876217500736

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, two numerical methods are being considered for simulations of 1D elliptic type single and double interface models. The first proposed method is based on Haar wavelet collocation while the second method is based on meshless collocation which is realized on radial basis functions. Numerical experiments are carried out to check performance of both the methods. The accuracy of the methods is assessed in terms of L-infinity error norm. Comparison of numerical results is shown to establish validity and superiority of the methods.

引用

页数：37

共 36 条

[1]

[Anonymous], UCRL54670

[2]

Bellman R. E., 1965, QUASILINEARIZATION N

[3] High-order difference potentials methods for 1D elliptic type models [J].