Results 11 to 20 of about 4,191 (239)
Solutions for Multitime Reaction–Diffusion PDE
Mathematics, 2022 A previous paper by our research group introduced the nonlinear multitime reaction–diffusion PDE (with oblique derivative) as a generalized version of the single-time model.
Cristian Ghiu, Constantin Udriste
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Learning local Dirichlet-to-Neumann maps of nonlinear elliptic PDEs with rough coefficients* [PDF]
ESAIM: Proceedings and SurveysPartial Differential Equations (PDEs) involving high-contrast and oscillating coefficients are common in scientific and industrial applications. Numerically approximating these PDEs is a challenging task, which can be addressed, for example, through ...
Boutilier Miranda +2 more
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On linear and nonlinear fractional PDEs [PDF]
Theoretical and Applied Mechanics, 2013 In this study, Variational Iteration Method (VIM) has been applied to obtain the analytical solutions of fractional order nonlinear partial differential equations.
Ahmad Jamshad +2 more
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Abstract and Applied Analysis, 2014 One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients.
A. H. Bhrawy +2 more
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Mathematics, 2019 The paper shows that, in looking for exact solutions to nonlinear PDEs, the direct method of functional separation of variables can, in certain cases, be more effective than the method of differential constraints based on the compatibility analysis of ...
Andrei D. Polyanin
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ASYMPTOTIC SCALING SYMMETRIES FOR NONLINEAR PDES [PDF]
International Journal of Geometric Methods in Modern Physics, 2005 In some cases, solutions to nonlinear PDEs happen to be asymptotically (for large x and/or t) invariant under a group G which is not a symmetry of the equation. After recalling the geometrical meaning of symmetries of differential equations — and solution-preserving maps — we provide a precise definition of asymptotic symmetries of PDEs; we deal in ...
G. Gaeta, R. Mancinelli
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The homogeneous balance of undetermined coefficients method and its application
Open Mathematics, 2016 The homogeneous balance of undetermined coefficients method is firstly proposed to solve such nonlinear partial differential equations (PDEs), the balance numbers of which are not positive integers.
Wei Yi, He Xin-Dang, Yang Xiao-Feng
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Nonlinear PDEs with Modulated Dispersion I: Nonlinear Schrödinger Equations [PDF]
Communications in Partial Differential Equations, 2015 We start a study of various nonlinear PDEs under the effect of a modulation in time of the dispersive term. In particular in this paper we consider the modulated non-linear Schr dinger equation (NLS) in dimension 1 and 2 and the derivative NLS in dimension 1. We introduce a deterministic notion of "irregularity" for the modulation and obtain local and
Chouk, K., Gubinelli, M.
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Desimal, 2023 In this study, some linear PDEs and nonlinear PDEs are investigated using the homotopy perturbation method (HPM). The primary objective of this research is to employ the HPM as a tool for investigating a range of PDEs and extracting their analytical ...
Md. Mizanur Rahman +2 more
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Scientific Reports, 2022 Inclusion of nanoparticles boosts thermal performance and is essential for thermal transport. The current investigation has been made to conduct research on heat mass transport in synovial material with the mixing of hybrid and tri-hybrid comprising ...
Umar Nazir +7 more
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