Browsing by Author "Rathore, Sushila"

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Citation Count: Singh, Jagdev...et al. (2021). "An efficient computational approach for local fractional Poisson equation in fractal media", Numerical Methods for Partial Differential Equations, Vol. 37, No. 2, pp. 1439-1448.
An efficient computational approach for local fractional Poisson equation in fractal media
(2021) Singh, Jagdev; Ahmadian, Ali; Rathore, Sushila; Kumar, Devendra; Baleanu, Dumitru; Salimi, Mehdi; Salahshour, Soheil; 56389
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.
Citation Count: Singh, Jagdev...et al. (2018). "An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation", Applied Mathematics and Computation, Vol. 335, pp. 12-24.
An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
(Elsevier Science INC, 2018) Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila; 56389
The fundamental purpose of the present paper is to apply an effective numerical algorithm based on the mixture of homotopy analysis technique, Sumudu transform approach and homotopy polynomials to obtain the approximate solution of a nonlinear fractional Drinfeld-Sokolov-Wilson equation. The nonlinear Drinfeld-Sokolov-Wilson equation naturally occurs in dispersive water waves. The uniqueness and convergence analysis are shown for the suggested technique. The convergence of the solution is fixed and managed by auxiliary parameter h. The numerical results are shown graphically. Results obtained by the application of the technique disclose that the suggested scheme is very accurate, flexible, effective and simple to use. (C) 2018 Elsevier Inc. All rights reserved.
Citation Count: Kumar, Devendra...et al. (2018). "Analysis of a fractional model of the Ambartsumian equation", European Physical Journal Plus, Vol. 133, No. 7.
Analysis of A Fractional Model of the Ambartsumian Equation
(Springer Heidelberg, 2018) Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru; Rathore, Sushila; 56389
The prime target of this work is to investigate a fractional model of the Ambartsumian equation. This equation is very useful to describe the surface brightness of the Milky Way. The Ambartsumian equation of fractional order is solved with the aid of the HATM. The solution is presented in terms of the power series, which is convergent for all real values of variables and parameters. The outcomes drawn with the help of the HATM are presented in the form of graphs.
Citation Count: Singh, Jagdev...et al. (2019). "On the local fractional wave equation in fractal strings", Mathematical Methods in the Applied Sciences, Vol. 42, No. 5, pp. 1588-1595.
On the local fractional wave equation in fractal strings
(Wiley, 2019) Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila; 56389
The key aim of the present study is to attain nondifferentiable solutions of extended wave equation by making use of a local fractional derivative describing fractal strings by applying local fractional homotopy perturbation Laplace transform scheme. The convergence and uniqueness of the obtained solution by using suggested scheme is also examined. To determine the computational efficiency of offered scheme, some numerical examples are discussed. The results extracted with the aid of this technique verify that the suggested algorithm is suitable to execute, and numerical computational work is very interesting.