Adaptive moving knots meshless method for Degasperis-Procesi equation with conservation laws
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.02.007
Abstract: Abstract The nonlinear Degasperis-Procesi (DP) equation allows shock wave solutions and possesses bi-Hamiltonian properties. Considering both of the two properties, we introduce a numerical scheme which involves three key features. First, a stable moving knots… read more here.
Keywords: procesi equation; knots meshless; moving knots; conservation laws ... See more keywords
Adaptive moving knots meshless method for simulating time dependent partial differential equations
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2018.08.010
Abstract: Abstract This paper presents an improvement of Huang’s moving knots method (Huang et al.) for solving the PDE on the contours of Equidistribution Principle (EP-contours). Firstly, a new moving knots strategy is generated by discovering a… read more here.
Keywords: huang; adaptive moving; moving knots; method simulating ... See more keywords