Jñānābha‎, Vol. 51 (1) (2021), (142-151)

HEAT EQUATION OBTAINED BY l -DIFFERENCE OPERATOR CHANGE OF TIME WITH TWO VARIABLES


By

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.

Email:rejinrosejustes1980@ gmail.com

Received : July 26, 2020; Revised : May 15, 2021 ; In final form: June 27, 2021)


Abstract

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.


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