Jñānābha, Vol. 51 (1) (2021), (142-151)
HEAT EQUATION OBTAINED BY l -DIFFERENCE OPERATOR CHANGE OF TIME WITH TWO VARIABLES
D. Rejin Rose and G. Dominic Babu
Department of Mathematics, Annai Velankanni College,
Tholayavattam-629157, Kanyakumari District,
Affiliated to Manonmaniam Sundaranar University, Abishekapatti,
Tirunelveli- 627012, Tamil Nadu, India.
Received : July 26, 2020; Revised : May 15, 2021 ; In final form: June 27, 2021)
We investigate the generalized partial difference operator and propose a model of it in discrete heat equation. For example, the temperature in an object changes with time and the position within the object. In this paper Generalized heat equation obtained by two dimensional l -difference operator change of time with two variables
2010 Mathematics Subject Classifications: 39A.
Keywords and phrases: Difference operator, two dimensional l -difference operator, partial difference equation , and discrete heat equation.