Nonlinear Cauchy/Robin inverse problems solved by an optimal splitting-linearizing method

CS Liu, CW Chang - International Journal of Heat and Mass Transfer, 2023 - Elsevier
In the paper we develop a novel optimal splitting-linearizing method (OSLM) to iteratively
solve a nonlinear inverse Cauchy problem in a simply-connected domain. The nonlinear …

Solving heat equations under convection boundary conditions by a high-performance space-time boundary shape functions method

CS Liu, L Qiu, J Lin - Numerical Heat Transfer, Part B …, 2020 - Taylor & Francis
To be a numerical method, the time-dependent convection boundary conditions are hard to
be fulfilled exactly, which will deteriorate the accuracy of numerical solution. With this in …

Solving the boundary layer problems with buoyancy effect over a moving and permeable plate by a boundary shape function method

CS Liu, L Qiu, B Li, S Liu - The European Physical Journal Plus, 2021 - Springer
The steady boundary layer problems with buoyancy effect over a moving and permeable
plate are studied in the present paper. By using the boundary layer approximations with …