Results 51 to 60 of about 456,102 (333)
Mathematics, 2020 In this work, we investigate a (3+1)-dimensional generalised Kadomtsev–Petviashvili equation, recently introduced in the literature. We determine its group invariant solutions by employing Lie symmetry methods and obtain elliptic, rational and ...
Innocent Simbanefayi +1 more
doaj +1 more source
Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method
Journal of Function Spaces, 2021 The recently introduced technique, namely, the extended complex method, is used to explore exact solutions for the generalized fifth-order KdV equation. Appropriately, the rational, periodic, and elliptic function solutions are obtained by this technique.
Mehvish Fazal Ur Rehman +2 more
doaj +1 more source
Partial Schauder estimates for second-order elliptic and parabolic equations [PDF]
Calc. Var. Partial Differential Equations, 40 (2011), no. 3-4,
481-500, 2010 We establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving H\"older semi-norms not with respect to all, but only with respect to some of the independent variables.
arxiv +1 more source
Smart Rubber Extrusion Line Combining Multiple Sensor Techniques for AI‐Based Process Control
Advanced Engineering Materials, EarlyView.This publication presents a digitalization approach for a laboratory rubber extrusion line, employing innovative measurement methods and artificial intelligence (AI)‐based process control. The results demonstrate that the measurement systems are capable of detecting changes in the process and extrudate quality.
Alexander Aschemann +18 more
wiley +1 more source
Journal of the Egyptian Mathematical Society, 2016 In this paper, we improve the extended trial equation method to construct the exact solutions for nonlinear coupled system of partial differential equations in mathematical physics.
Khaled A. Gepreel
doaj +1 more source
Advanced Engineering Materials, EarlyView.In pursuit of modern data management techniques, this study presents an in‐lab pipeline combining electronic laboratory notebooks (eLabFTW) and Python scripts for creating semantically enriched, interoperable, machine‐actionable data. Automating data mapping enhances usability, collaboration, and unified knowledge representation.
Markus Schilling +7 more
wiley +1 more source
A deep neural network algorithm for semilinear elliptic PDEs with applications in insurance mathematics [PDF]
Risks, 8(4):136, 2020, 2020 In insurance mathematics optimal control problems over an infinite time horizon arise when computing risk measures. Their solutions correspond to solutions of deterministic semilinear (degenerate) elliptic partial differential equations. In this paper we propose a deep neural network algorithm for solving such partial differential equations in high ...
arxiv
Path Integral Solution of Linear Second Order Partial Differential Equations II. Elliptic, Parabolic and Hyperbolic Cases [PDF]
Ann. Phys. 314, (2004) 396-424, 2004 A theorem that constructs a path integral solution for general second order partial differential equations is specialized to obtain path integrals that are solutions of elliptic, parabolic, and hyperbolic linear second order partial differential equations with Dirichlet/Neumann boundary conditions.
arxiv +1 more source
On the definition of ellipticity for systems of partial differential equations
Journal of Mathematical Analysis and Applications, 1991 One of the fundamental problems in the theory of partial differential equations is that of classifying equations and systems by type. A specific problem associated with the definition of ellipticity is that when a higherorder equation or system is reduced to a first order system, ellipticity may be destroyed. One approach to that problem was introduced
openaire +2 more sources
Mechanisms of De‐icing by Surface Rayleigh and Plate Lamb Acoustic Waves
Advanced Engineering Materials, EarlyView.Ice accretion impacts daily life, renewable energy generation, maintenance, and security in industries and aeronautics. Acoustic waves (AW) are a promising method for ice removal, although de‐icing mechanisms require further investigation to optimize energy efficiency.
Shilpi Pandey +15 more
wiley +1 more source