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Group foliation of finite difference equations.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Jun2018, Vol. 59, p235-254. 20p. - Publication Year :
- 2018
-
Abstract
- Using the theory of equivariant moving frames, a group foliation method for invariant finite difference equations is developed. This method is analogous to the group foliation of differential equations and uses the symmetry group of the equation to decompose the solution process into two steps, called resolving and reconstruction. Our constructions are performed algorithmically and symbolically by making use of discrete recurrence relations among joint invariants. Applications to invariant finite difference equations that approximate differential equations are given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 59
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 127792875
- Full Text :
- https://doi.org/10.1016/j.cnsns.2017.11.027