Browsing by Author "Dutta, Hemen"

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Citation - WoS: 20
Citation - Scopus: 52
Computational Study of Fractional Order Smoking Model
(Pergamon-elsevier Science Ltd, 2021) Baleanu, Dumitru; Singh, Jagdev; Dutta, Hemen; Singh, Harendra
Smoking is a very challenging problem the world is facing every day. It contributes to deaths and major health problems to millions of people every year around the world. A lot of work has been devoted to study how to minimize smoking in the society. Here we study non-integer order smoking model using an iterative scheme which is combination of discretization of domain and short memory principle. We will also discuss stability of the proposed model and used iterative scheme. CPU time is listed in tabular to show the efficiency and figures are used to show behaviour of solution in long time. The proposed technique has high accuracy and low computational cost. Using figures fractional time behaviour of solution is also plotted. (C) 2020 Published by Elsevier Ltd.
Preface
(Springer Nature, 2023) Benchohra, M.; Karapinar, E.; Lazreg, J.E.; Salim, A.; Hristov, Jordan; Anastassiou, George A.; Baleanu, Dumitru; Singh, Jagdev; Cattani, Carlo; Kumar, Devendra; Dutta, Hemen; Matematik
Preface
(Springer Nature, 2022) Agarwal, Ravi P.; Karapınar, Erdal; Burcu Özdemir Sarı, Ö.; Caner, Alp; Chen, Yangquan; Gazi, Orhan; Mahmoud, Khaled; Salim, Abdelkrim; Gülkan, Polat; Machado, José António Tenreiro; Kumar, Devendra; Lazreg, Jamal Eddine; Dutta, Hemen; Özdemir, Suna S.; Hristov, Jordan; Momani, Shaher; Purohit, Sunil Dutt; Anastassiou, George A.; Uzun, Nil; Baleanu, Dumitru; Benchohra, Mouffak; Singh, Jagdev; Cattani, Carlo; Agarwal, Praveen
Citation - WoS: 12
Citation - Scopus: 16
Solution of Multi-Dimensional Fredholm Equations Using Legendre Scaling Functions
(Elsevier, 2020) Baleanu, D.; Srivastava, H. M.; Dutta, Hemen; Jha, Navin Kumar; Singh, Harendra
In this article, we construct approximate solution to multi-dimensional Fredholm integral equations of second kind using n-dimensional Legendre scaling functions. Error analysis of the problem is provided in the L-2 sense. It is shown that our numerical method is numerically stable. Some examples are discussed based on proposed method to show the importance and accuracy of the proposed numerical method. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.