In this paper, it is proposed that Haar functions should be used for solving ordinary differential equations of a time variable in facilitv. This is because inteorated forms of Haar functions of any degree can be illustrated by linear-and linear segmentfunctions like as triangles. Fortunately, sinc
An application of rationalized Haar functions to solution of linear partial differential equations
โ Scribed by Masaaki Ohkita; Yasuhiro Kobayashi
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 566 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
When factoring linear partial differential systems with a finite-dimensional solution space or analysing symmetries of nonlinear ODEs, we need to look for rational solutions of certain nonlinear PDEs. The nonlinear PDEs are called Riccati-like because they arise in a similar way as Riccati ODEs. In
Let K be a field of characteristic zero and M(Y ) = N a system of linear differential equations with coefficients in K(x). We propose a new algorithm to compute the set of rational solutions of such a system. This algorithm does not require the use of cyclic vectors. It has been implemented in Maple