AUTHOR=Wang Fuzhang , Zhang Juan , Ahmad Imtiaz , Farooq Aamir , Ahmad Hijaz 

TITLE=A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients

JOURNAL=Frontiers in Physics

VOLUME=9

YEAR=2021

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.701512

DOI=10.3389/fphy.2021.701512

ISSN=2296-424X

ABSTRACT=<p>A one-step new general mesh free scheme, which is based on radial basis functions, is presented for a viscous wave equation with variable coefficients. By constructing a simple extended radial basis function, it can be directly applied to wave propagation by using the strong form-based mesh free collocation method. There is no need to deal with the time-dependent variable particularly. Numerical results for a viscous wave equation with variable coefficients show that the proposed mesh free collocation method is simple with accurate solutions.</p>