Yazar "Misro, Md Yushalify" seçeneğine göre listele

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    Öğe
    A hybrid approach for non-linear fractional Newell-Whitehead-Segel model
    (Elsevier, 2024) Yadav, L. K.; Agarwal, G.; Gour, M. M.; Akguel, A.; Misro, Md Yushalify; Purohit, S. D.
    In this article, we applied the Shehu transform decomposition method (STDM) to obtain the approximate solution of the nonlinear fractional Newell-Whitehead-Segel equation that arises in various physical phenomena, such as fluid mechanics, solid -state physics, optics, plasma physics, dispersion, and chemical kinetics. The fractional NWS model is associated with the temperature and thermal convection of fluid dynamics, aiding in describing the formulation process on liquid surfaces restricted along a horizontally well-conducting boundary. To minimize computing complexity and intricacy, we utilized the proposed method, which combines the Shehu transform and the Adomian decomposition method, to solve the presented model. The results obtained by implementing the suggested method confirm that the solution approaches closer to the exact solution as the value tends from fractional order towards integer order. Moreover, the proposed method is interesting, easy, and highly accurate in solving various nonlinear fractional-order partial differential equations. The numerical results and their graphical simulations are presented using MATLAB.
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    Öğe
    Analytical investigation of space–time shifted nonlocal stochastic Sasa–Satsuma equation using the enhanced modified extended tanh-expansion method for stochastic solitary waves Solutions
    (Elsevier B.V., 2024) Manzoor, Zuha; Ashraf, Farrah; Iqbal, Muhammad Sajid; Akgül, Ali; Misro, Md Yushalify
    In this paper, discover exact solutions of the space–time shifted nonlocal stochastic Sasa–Satsuma equations using the enhanced modified extended tanh-expansion method. This method is a sophisticated mathematical approach for analytical and approximate solution of a nonlinear partial differential equations. The space–time shifted nonlocal stochastic Sasa–Satsuma equations define the behavior of two complex-valued functions, u and v, in a nonlinear system. These equations are complicated to solve analytically because they contain a number of components that describe space–time shifting, nonlocal interactions, and stochastic problems. To increase reliability and effectiveness of the solutions, this method couples the extended tanh-function method with an enhanced method. In order to demonstrate how white noise affects the solutions to the space–time shifted nonlocal stochastic Sasa–Satsuma equations, we also use Matlab to create 3D surfaces and contour graphs of exact solutions. © 2024 The Author(s)