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

Frontiers in Physics

Aamir Farooq²  Imtiaz Ahmad³  Fuzhang Wang⁴  Juan Zhang⁴  Hijaz Ahmad⁵ 

[1] College of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, China;Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan;Department of Mathematics, University of Swabi, Swabi, Pakistan;School of Computer Science and Technology, Huaibei Normal University, Huaibei, China;Section of Mathematics, International Telematic University Uninettuno, Roma, Italy;

关键词: radial basis functions;    wave equations;    numerical simulation;    meshfree methods;    variable;   

DOI  :  10.3389/fphy.2021.701512

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown