Add to ORKGAbstract: By means of finite-difference invariant the difference equations and moving grids for Burgers equation and linear heat transfer equation are constructed. These discrete models possess the same symmetry group as their continuous analogs, and have corresponding invariant solutions on subgroups.Note: Research direction:Mathematical problems and theory of numerical method
A method is presented for designing a one-step, explicit finite difference scheme for solving the in...
In the process of constructing invariant difference schemes which approximate partial differential e...
An explicit finite difference scheme for one-dimensional Burgers equation is derived from the lattic...
Invariant numerical schemes possess properties that may overcome the numerical properties of most of...
Abstract: In the present paper invariant difference equations and meshes for the equation ...
The method of equivariant moving frames on multi-space is used to construct sym-metry preserving fin...
A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizab...
We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version...
In this article, a geometric technique to construct numerical schemes for partial differential equat...
Abstract. In this article, a geometric technique to construct numerical schemes for partial differen...
The theory of prolongations of the generators of groups of point transformations to the grid point v...
In this paper we present a method of construction of invariant numerical schemes for partial differe...
Abstract. Finite difference discretization schemes preserving a subgroup of the maximal Lie invarian...
Two new higher-order accurate finite-difference schemes for the numerical solution of boundary-value...
A numerical solution of the one-dimensional Burgers' equation is obtained using a sixth-order compac...
A method is presented for designing a one-step, explicit finite difference scheme for solving the in...
In the process of constructing invariant difference schemes which approximate partial differential e...
An explicit finite difference scheme for one-dimensional Burgers equation is derived from the lattic...
Invariant numerical schemes possess properties that may overcome the numerical properties of most of...
Abstract: In the present paper invariant difference equations and meshes for the equation ...
The method of equivariant moving frames on multi-space is used to construct sym-metry preserving fin...
A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizab...
We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version...
In this article, a geometric technique to construct numerical schemes for partial differential equat...
Abstract. In this article, a geometric technique to construct numerical schemes for partial differen...
The theory of prolongations of the generators of groups of point transformations to the grid point v...
In this paper we present a method of construction of invariant numerical schemes for partial differe...
Abstract. Finite difference discretization schemes preserving a subgroup of the maximal Lie invarian...
Two new higher-order accurate finite-difference schemes for the numerical solution of boundary-value...
A numerical solution of the one-dimensional Burgers' equation is obtained using a sixth-order compac...
A method is presented for designing a one-step, explicit finite difference scheme for solving the in...
In the process of constructing invariant difference schemes which approximate partial differential e...
An explicit finite difference scheme for one-dimensional Burgers equation is derived from the lattic...