@Article{AAMM-1-2,
author = {M., Fan, C. and Chen, C.S. and Monroe, J.},
title = {The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2009},
volume = {1},
number = {2},
pages = {215--230},
abstract = {<p style="text-align: justify;">A meshless method based on the method of fundamental solutions (MFS)
is proposed to solve the time-dependent partial differential equations with variable
coefficients. The proposed method combines the time discretization and the one-stage
MFS for spatial discretization. In contrast to the traditional two-stage process,
the one-stage MFS approach is capable of solving a broad spectrum of partial differential
equations. The numerical implementation is simple since both closed-form
approximate particular solution and fundamental solution are easier to find than the
traditional approach. The numerical results show that the one-stage approach is
robust and stable.</p>},
issn = {2075-1354},
doi = {https://doi.org/2009-AAMM-8365},
url = {https://global-sci.com/article/73681/the-method-of-fundamental-solutions-for-solving-convection-diffusion-equations-with-variable-coefficients}
}