Next Article in Journal
Special Types of Locally Conformal Closed G2-Structures
Previous Article in Journal
Exponentially Harmonic Maps into Spheres
Previous Article in Special Issue
On the Shape Differentiability of Objectives: A Lagrangian Approach and the Brinkman Problem
Article Menu

Export Article

Open AccessArticle
Axioms 2018, 7(4), 89;

A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem

Escuela de Matemáticas, Universidad Nacional de Colombia, Carrera 65 # 59 A-110, Medellín 050034, Colombia
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 16 September 2018 / Revised: 13 November 2018 / Accepted: 20 November 2018 / Published: 23 November 2018
(This article belongs to the Special Issue Applications of Differential Equations and Dynamical Systems)
Full-Text   |   PDF [341 KB, uploaded 23 November 2018]   |  


We consider a two-dimensional time fractional diffusion equation and address the important inverse problem consisting of the identification of an ingredient in the source term. The fractional derivative is in the sense of Caputo. The necessary regularization procedure is provided by a two-dimensional discrete mollification operator. Convergence results and illustrative numerical examples are included. View Full-Text
Keywords: inverse problem; mollification; fractional derivatives inverse problem; mollification; fractional derivatives

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Echeverry, M.D.; Mejía, C.E. A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem. Axioms 2018, 7, 89.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top