Meshless Method Based on Radial Basis Functions for Solving Parabolic Partial Differential Equations with Variable Coefficients
Document Type
Article
Publication Date
2010
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
The method of approximate particular solutions is extended for solving initial-boundary-value problems for general parabolic partial differential equations (PDEs) with variable coefficients. The main idea is to reduce the parabolic PDEs into a series of elliptic PDEs and approximate the unknown solution by the closed-form particular solution using radial basis functions. Numerical experiments in two and three dimensions show that the proposed scheme is accurate and easy to implement.
Publication Title
Numerical Heat Transfer Part B-Fundamentals
Volume
57
Issue
5
First Page
333
Last Page
347
Recommended Citation
Li, M.,
Chen, C.,
Tsai, C.
(2010). Meshless Method Based on Radial Basis Functions for Solving Parabolic Partial Differential Equations with Variable Coefficients. Numerical Heat Transfer Part B-Fundamentals, 57(5), 333-347.
Available at: https://aquila.usm.edu/fac_pubs/754