Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Access Right: Closed AccessAuthor: search.filters.author.Kumar, Devendra

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Now showing 1 - 10 of 25
  • Editorial
    Preface
    (de Gruyter, 2019) Baleanu, Dumitru; Lopes, António Mendes; Hristov, Jordan; Anastassiou, George A.; Karapınar, Erdal; Salim, Abdelkrim; Benchohra, Mouffak; Singh, Jagdev; Cattani, Carlo; Kumar, Devendra; Dutta, Hemen; Lazreg, Jamal Eddine
  • Editorial
    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
  • Article
    Citation - WoS: 63
    Citation - Scopus: 76
    A Fractional Model of Convective Radial Fins With Temperature-Dependent Thermal Conductivity
    (Editura Acad Romane, 2017) Kumar, Devendra; Baleanu, Dumitru; Singh, Jagdev; Baleanu, Dumitru; Matematik
    The principal purpose of the present article is to examine a fractional model of convective radial fins having constant and temperature-dependent thermal conductivity. In order to solve fractional order energy balance equation, a numerical algorithm namely homotopy analysis transform method is considered. The fin temperature is derived in terms of thermo-geometric fin parameter. Our method is not limited to the use of a small parameter, such as in the standard perturbation technique. The numerical simulation for temperature and fin tip temperature are presented graphically. The results can be used in thermal design to consider radial fins having both constant and temperature-dependent thermal conductivity.
  • Editorial
    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
  • Article
    An Q-Uniformly Convergent Technique for Singularly Perturbed Problems, With an Interior Turning Point Occurring in Chemical Processes
    (Springer, 2025) Kumari, Parvin; Kumar, Devendra; Baleanu, Dumitru
    A parameter-uniform solution is presented for singularly perturbed turning point problems with twin boundary layers. A fitted mesh is created in order to resolve the layers, and the provided equation is discretized using the cubic B-spline basis functions on this mesh. For the analytic solution and its derivatives, asymptotic bounds are provided. A brief analysis shows that the method is first-order precise in time and second-order accurate (up to a logarithm factor) in space, and that it is uniformly convergent regardless of the minuscule parameter. Two test problems are offered in order to verify the theoretical results.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 9
    Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes
    (Asme, 2023) Deswal, Komal; Kumar, Devendra; Baleanu, Dumitru; Chawla, Reetika; Reetika, Chawla
    In the present study, we examined the effectiveness of three linearization approaches for solving the time-fractional generalized Burgers' equation using a modified version of the fractional derivative by adopting the Atangana-Baleanu Caputo derivative. A stability analysis of the linearized time-fractional Burgers' difference equation was also presented. All linearization strategies used to solve the proposed nonlinear problem are unconditionally stable. To support the theory, two numerical examples are considered. Furthermore, numerical results demonstrate the comparison of linearization strategies and manifest the effectiveness of the proposed numerical scheme in three distinct ways.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 4
    Novel Numerical Approach for Time Fractional Equations With Nonlocal Condition
    (Springer, 2024) Deswal, Komal; Kumar, Devendra; Baleanu, Dumitru; Taneja, Komal
    A numerical method for solving inhomogeneous nonlocal time fractional convection-diffusion-reaction equations with variable coefficients has been developed. The fractional time operator is taken in the sense of the modified operator with the Mittag-Leffler kernel. The numerical method is based on the modified Gauss elimination with Taylor's expansion. Through rigorous analysis, it has been proved that the given method is unconditionally stable and second-order convergent in space and time. The numerical results for three test problems illustrate the efficiency and validity of the theoretical estimates.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    A Higher-Order Approach for Time-Fractional Generalized Burgers' Equation
    (World Scientific Publ Co Pte Ltd, 2023) Deswal, Komal; Kumar, Devendra; Baleanu, Dumitru; Taneja, Komal
    A fast higher-order scheme is established for solving inhomogeneous time-fractional generalized Burgers' equation. The time-fractional operator is taken as the modified operator with the Mittag-Leffler kernel. Through stability analysis, it has been demonstrated that the proposed numerical approach is unconditionally stable. The convergence of the numerical method is analyzed theoretically using von Neumann's method. It has been proved that the proposed numerical method is fourth-order convergent in space and second-order convergent in time in the L-2-norm. The scheme's proficiency and effectiveness are examined through two numerical experiments to validate the theoretical estimates. The tabular and graphical representations of numerical results confirm the high accuracy and versatility of the scheme.
  • Article
    Citation - WoS: 38
    Citation - Scopus: 44
    Fractional Klein-Gordon Equations With Mittag-Leffler Memory
    (Elsevier, 2020) Prakasha, D. G.; Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Veeresha, P.
    The main objective of the present investigation is to find the solution for the fractional model of Klein-Gordon-Schrodinger system with the aid of q-homotopy analysis transform method (q-HATM). The projected solution procedure is an amalgamation of q-HAM with Laplace transform. More preciously, to elucidate the effectiveness of the projected scheme we illustrate the response of the q-HATM results, and the numerical simulation is offered to guarantee the exactness. Further, the physical behaviour has been presented associated with parameters present the method with respect fractional-order. The present study confirms that, the projected solution procedure is highly methodical and accurate to solve and study the behaviours of the system of differential equations with arbitrary order exemplifying the real word problems.
  • Article
    Citation - WoS: 57
    Citation - Scopus: 72
    An Efficient Computational Approach for Local Fractional Poisson Equation in Fractal Media
    (Wiley, 2021) Ahmadian, Ali; Rathore, Sushila; Kumar, Devendra; Baleanu, Dumitru; Salimi, Mehdi; Salahshour, Soheil; Singh, Jagdev
    In this article, we analyze local fractional Poisson equation (LFPE) by employing q-homotopy analysis transform method (q-HATM). The PE describes the potential field due to a given charge with the potential field known, one can then calculate gravitational or electrostatic field in fractal domain. It is an elliptic partial differential equations (PDE) that regularly appear in the modeling of the electromagnetic mechanism. In this work, PE is studied in the local fractional operator sense. To handle the LFPE some illustrative example is discussed. The required results are presented to demonstrate the simple and well-organized nature of q-HATM to handle PDE having fractional derivative in local fractional operator sense. The results derived by the discussed technique reveal that the suggested scheme is easy to employ and computationally very accurate. The graphical representation of solution of LFPE yields interesting and better physical consequences of Poisson equation with local fractional derivative.