Space–Time Polynomial Particular Solutions Method for Solving Time-Dependent Problems
Document Type
Article
Publication Date
3-3-2020
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
© 2019, © 2019 Taylor & Francis Group, LLC. A new space–time method, utilizing polynomials as the basis function, has been developed for solving time-dependent problems. Our proposed method does not have stability issues, nor does it require any parameters as were needed in the space–time radial basis function method, such as, the shape parameter, or those for the nodes distribution. In this article, various linear and nonlinear numerical examples on irregular and regular space domains are considered by the new space–time method. The results obtained demonstrate that our proposed method is stable and highly accuracy.
Publication Title
Numerical Heat Transfer, Part B: Fundamentals
Volume
77
Issue
3
First Page
181
Last Page
194
Recommended Citation
Cao, Y.,
Chen, C.,
Zheng, H.
(2020). Space–Time Polynomial Particular Solutions Method for Solving Time-Dependent Problems. Numerical Heat Transfer, Part B: Fundamentals, 77(3), 181-194.
Available at: https://aquila.usm.edu/fac_pubs/17872