An operational sum method with tchebycheff series expansions for solving difference equations

Abstract

The convolution structure of the Tchebycheff series expansions and the Tchebycheff finite-difference operator generate an operational calculus which can be fruitfully used to solve certain ordinary and partial difference equations.

Keywords:

• Tchebycheff polynomials
• discrete transform
• translation operator
• convolution difference equations

^*Partially supported by Consejeria de Educación,Gobierno Aut6nomo de Canarias,Proyecto 967/15-9-95

^*Partially supported by Consejeria de Educación,Gobierno Aut6nomo de Canarias,Proyecto 967/15-9-95

Notes

^*Partially supported by Consejeria de Educación,Gobierno Aut6nomo de Canarias,Proyecto 967/15-9-95