A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients
Fuzhang Wang, Juan Zhang, Imtiaz Ahmad, Aamir Farooq, Hijaz Ahmad
Abstract
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.
Topics & Concepts
Variable (mathematics)Radial basis functionSimple (philosophy)Collocation (remote sensing)Collocation methodBasis (linear algebra)Basis functionMathematicsVariable coefficientMathematical analysisWave equationFunction (biology)Applied mathematicsComputer scienceGeometryDifferential equationOrdinary differential equationEpistemologyPhilosophyMachine learningBiologyArtificial neural networkEvolutionary biologyNumerical methods in engineeringGeotechnical Engineering and Underground StructuresElectromagnetic Simulation and Numerical Methods