A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative. (25th May 2016)

• Record Type: Journal Article
• Authors: Gülkaç, Vildan
• Other Names: Weder Ricardo Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2016(2016)
• Publication Date: 2016-05-25
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2016/6470949
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time-fractional derivative. The inverse problem is with variable coefficients and initial and boundary conditions. The analytical solutions to the inverse problems are obtained in the form of a finite convergent power series with easily obtainable components.