We propose a new moving mesh method suitable for solving time-dependent partial differential equations (PDEs) in ℝ1 which have fine scale solution ...

We propose a new moving mesh method suitable for solving time-dependent partial differential equations (PDEs) in ℝ1 which have fine scale solution ...

Summary. We propose a new moving mesh method suitable for solving time- dependent partial differential equations (PDEs) in R1 which have fine scale solution.

Title: Proceedings of the 21st International Meshing Roundtable: An h-r Moving Mesh Method for One-Dimensional Time-Dependent PDEs ; Year of Publication: 2013.

which have fine scale solution structures that develop or dissipate. A key feature of the method is its ability to add or remove mesh nodes in a smooth ...

We propose a new moving mesh method suitable for solving time-dependent partial differential equations (PDEs) in R 1 which have fine scale solution ...

In this paper we introduce a moving mesh method for solving PDEs in two dimensions. It can be viewed as a higher-dimensional generalization of the moving mesh ...

Jul 4, 2019 · Moving mesh methods for time-dependent problems may be further divided into static and dynamic methods. With static methods the PDE is solved ...

One of the successful applications of the moving mesh PDE approach is given in [21] to solve (one-dimensional) PDEs with blow up solutions (see also [65]). 2.3.

Numerical experiments are described that illustrate some important features of the performance of moving mesh methods for solving one-dimensional partial ...