Title

Space–Time Localized Polynomial Basis Functions For Solving Parabolic and Hyperbolic Equations

Document Type

Article

Publication Date

11-1-2021

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

In this paper, two localized meshless schemes using polynomial basis functions have been presented for solving space–time problems. The proposed methods are especially attractive for solving time-dependent problems in 3D spacious domain. The results showed the simplicity and high accuracy of the proposed methods. Six numerical examples are given to illustrate the effectiveness of the proposed methods. We also presented the pros and cons of the proposed methods by comparing to the results of some recent publications using global polynomial basis functions and localized radial basis functions.

Publication Title

International Journal of Computer Mathematics

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