Results 1 to 10 of about 2,326 (116)
Analytical comparisons for solving the modified fractional Kawahara equation: application on numerical simulation of chemical signaling processes [PDF]
Scientific ReportsFractional models are essential for describing nonlinear, memory dependent wave phenomena in complex media, yet solving high order fractional nonlinear PDEs such as the Modified Caputo Fractional Kawahara Equation (MCFKE) remains challenging.
Faten H. Damag +5 more
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Innovative Aboodh-based gractional analytical methods for nonlinear Burgers’ partial differential equations [PDF]
Scientific ReportsThis paper explores advanced analytical techniques for solving Burgers’ fractional partial differential equations (PDEs). We focus on the application of two innovative methods: the Aboodh transform iteration method (ATIM) and the Aboodh residual power ...
Naveed Iqbal +6 more
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Physics-Informed Neural Networks with Unknown Partial Differential Equations: An Application in Multivariate Time Series [PDF]
EntropyA significant advancement in Neural Network (NN) research is the integration of domain-specific knowledge through custom loss functions. This approach addresses a crucial challenge: How can models utilize physics or mathematical principles to enhance ...
Seyedeh Azadeh Fallah Mortezanejad +2 more
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Ain Shams Engineering Journal, 2023 The unsteady boundary layer flow and thermal transportation analysis of an incompressible Oldroyd-B nanofluid driven by stretching cylinder is scrutinized with analytically approach in this study.
Muhammad Yasir +5 more
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The solutions of nonlinear fractional partial differential equations by using a novel technique
Open Physics, 2022 In this article, the solutions of higher nonlinear partial differential equations (PDEs) with the Caputo operator are presented. The fractional PDEs are modern tools to model various phenomena more accurately.
Alderremy Aisha Abdullah +6 more
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Journal of Applied Mathematics, 2022 This paper demonstrates the applicability of the large parameter spectral perturbation method (LSPM) to a coupled system of partial differential equations that cannot be solved exactly.
T. M. Agbaje, G. Makanda
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Deep convolutional architectures for extrapolative forecasts in time-dependent flow problems
Advanced Modeling and Simulation in Engineering Sciences, 2023 Physical systems whose dynamics are governed by partial differential equations (PDEs) find numerous applications in science and engineering. The process of obtaining the solution from such PDEs may be computationally expensive for large-scale and ...
Pratyush Bhatt +2 more
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Frontiers in Earth Science, 2023 Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt in the literature assume constant transport parameters, primarily because analytical solutions for varying parameters ...
Manotosh Kumbhakar, Vijay P. Singh
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Advances in Mathematical Physics, 2023 This paper provides a mathematical fractional-order model that accounts for the mindset of patients in the transmission of COVID-19 disease, the continuous inflow of foreigners into the country, immunization of population subjects, and temporary loss of ...
Benedict Barnes +4 more
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Computation, 2023 In this paper, we present an innovative approach to solve a system of boundary value problems (BVPs), using the newly developed discontinuous Galerkin (DG) method, which eliminates the need for auxiliary variables.
Helmi Temimi
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