Results 91 to 100 of about 498,085 (213)
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai +4 more
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A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations
Alexandria Engineering JournalThis paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the generalized Legendre ...
Umer Saeed, Mujeeb ur Rehman
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Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform
Abstract and Applied Analysis, 2013 A user friendly algorithm based on new homotopy perturbation Sumudu transform method (HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional derivative is considered in the Caputo sense. Further, the same problem is solved
Jagdev Singh +2 more
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Demonstratio Mathematica, 2021 The KdV equation, which appears as an asymptotic model in physical systems ranging from water waves to plasma physics, has been studied. In this paper, we are concerned with dispersive nonlinear KdV equations by using two reliable methods: Shehu Adomian ...
Appadu Appanah Rao, Kelil Abey Sherif
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this work, a nonlinear fractional integrodifferential equation (NFIo‐DE) with discontinuous generalized kernel in position and time is explored in space L2(Ω) × C[0, T], T < 1, with respect to the phase‐lag time. Here, Ω is the domain of integration with respect to position, Ω ∈ (−1, 1), while T is the time.
Abeer M. Al-Bugami +2 more
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this paper, we investigate the physical significance of the time regularised long wave (TRLW) equation within the realm of mathematics. Other varieties of travelling wave solutions to the analysed problem in hyperbolic form are looked at using the (1/G′)‐expansion method. Physically, the singular point’s shock wave structure offers the framework for
Ercan Çelik, Mengxin Chen
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An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
Abstract and Applied Analysis, 2013 An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM).
Devendra Kumar +2 more
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A Study of the Wave Dynamics for the Reaction‐Diffusion Brusselator System and RKL Equation
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.In this article, the reaction‐diffusion Brusselator system and the Radhakrishnan, Kundu, and Laskshmanan (RKL) equation are discussed. The investigation is focused on the solution procedure of the nonlinear evolution equations in chemical and biological processes.
Onur Alp İlhan, Jalil Manafian, Deepali
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On Semi-Analytical Solutions for Linearized Dispersive KdV Equations
Mathematics, 2020 The most well-known equations both in the theory of nonlinearity and dispersion, KdV equations, have received tremendous attention over the years and have been used as model equations for the advancement of the theory of solitons.
Appanah Rao Appadu, Abey Sherif Kelil
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Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The Fitzhugh–Nagumo equation, a key model for excitable systems in biology and neuroscience, requires efficient numerical methods due to its nonlinear nature. A spectral optimized multiderivative hybrid block method is proposed, constructed using a multistep collocation and interpolation technique with an approximated power series as the basis function.
Uthman O. Rufai +5 more
wiley +1 more source