INTEGRAL REPRESENTATION FOR THE SOLUTIONS DIFFUSION EQUATION WITH DISCONTINUITY FUNCTION AT INTERVAL
ABDULLAH ERGÜN *
Vocational School of Sivas, Cumhuriyet University, 58140 Sivas, Turkey.
RAUF AMİROV *
Department of Mathematics, Faculty of Science and Arts, Cumhuriyet University, 58140 Sivas, Turkey.
*Author to whom correspondence should be addressed.
Abstract
A diffusion operator with different discontinuity functions in a finite interval is examined in this study. The integral equations have been obtained for the given equation’s solutions satisfying certain initial conditions, and an integral representation which is quite useful for this type of diffusion equation has been presented.
Keywords: Integral equation, Sturm-Liouville.