- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 5
- Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditio...
Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions
Authors : Ahcene Merad, Abdelfatah Bouziani, Cenap Ozel
Pages : 1087-1097
View : 12 | Download : 5
Publication Date : 2015-10-01
Article Type : Research
Abstract :In this paper we prove the existence, uniqueness, and continuous dependence upon the data of solution to integrodifferential parabolic equation with purely nonlocal integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain a solution using a numerical technique which is called Stehfest algorithm by inverting the Laplace transform.Keywords : Keywords: Integrodifferential parabolic equation, Approximate solution, Non- local purely integral conditions, Stehfest Algorithm