Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions

Authors : Ahcene MERAD, Abdelfatah BOUZİANİ, Cenap OZEL

Pages : 1087-1097

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Publication Date : 2015-10-01

Article Type : Research Paper

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