Search Results - PARTIAL DIFFERENTIAL EQUATIONS

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    Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application by Xiao-Feng Yang, Yi Wei

    Published in Journal of Function Spaces (2020-01-01)
    “…The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE). …”
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    Article
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    Hyena neural operator for partial differential equations by Saurabh Patil, Zijie Li, Amir Barati Farimani

    Published in APL Machine Learning (2023-12-01)
    “…Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. …”
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    Similarity Solutions of Partial Differential Equations in Probability by Mario Lefebvre

    Published in Journal of Probability and Statistics (2011-01-01)
    “…The aim of the paper is to compute the probability that the process will hit a given part of the boundary of the stopping region first. The appropriate partial differential equations are solved explicitly by using the method of similarity solutions and the method of separation of variables. …”
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    On the solution of a class of partial differential equations by Alik Najafov, Aygun Orujova

    “…In the paper we study the solution and smoothness of the solution of one class of partial differential equations of higher order in bounded domain $G \subset \mathbb{R}^{n}$ satisfying the flexible $\lambda$-horn condition.…”
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    A possible theory of partial differential equations by R. Jackson

    “…The current gold standard for solving [nonlinear] partial differential equations, or [N]PDEs, is the simplest equation method, or SEM. …”
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    Preface to “Applications of Partial Differential Equations in Engineering” by Francisco Ureña, Ángel García, Antonio M. Vargas

    Published in Mathematics (2022-12-01)
    “…Many problems in the broad spectrum of science require the solution of a partial differential equation [...]…”
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    The support of singular stochastic partial differential equations by Martin Hairer, Philipp Schönbauer

    Published in Forum of Mathematics, Pi (2022-01-01)
    “…We obtain a generalisation of the Stroock–Varadhan support theorem for a large class of systems of subcritical singular stochastic partial differential equations driven by a noise that is either white or approximately self-similar. …”
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    Solutions of Smooth Nonlinear Partial Differential Equations by Jan Harm van der Walt

    Published in Abstract and Applied Analysis (2011-01-01)
    “…The method of order completion provides a general and type-independent theory for the existence and basic regularity of the solutions of large classes of systems of nonlinear partial differential equations (PDEs). Recently, the application of convergence spaces to this theory resulted in a significant improvement upon the regularity of the solutions and provided new insight into the structure of solutions. …”
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    Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations by Mehmet Merdan, Merve Merdan, Rıdvan Şahin

    Published in Cumhuriyet Science Journal (2024-09-01)
    “…In this study, solutions of random complex partial differential equations were found using the two-dimensional Sumudu transformation method(STM). …”
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