Results 91 to 100 of about 3,014,672 (279)
Alexandria Engineering Journal, 2016 In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
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Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Advanced Engineering Materials, EarlyView.Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
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Machine Learning with ApplicationsIn this paper, we propose using LSTM-RNNs (Long Short-Term Memory-Recurrent Neural Networks) to learn and represent nonlinear integral operators that appear in nonlinear integro-differential equations (IDEs).
Hardeep Bassi +6 more
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Nonlinear Operations and the Solution of Integral Equations [PDF]
Transactions of the American Mathematical Society, 1978 The letters 5, G and H denote a linearly ordered set, a normed complete Abelian group with zero element 0, and the set of functions from G to G that map O into 0, respectively. In addition, if Z E H and there exists an additive function a from S x S to the nonnegative numbers such that 11 Y(x, y)P-V(x, y)Q 11 < a(x, Y)llP-Q 12 for each {x, y, P, Q } in
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Advanced Engineering Materials, EarlyView.This study explores the discrepancies between bulk mechanics and spatial mapping in a tissue‐mimetic hydrogel model. Microplastic particles create localized stiff mechanical microenvironments that are detectable by cellular‐scale nanoindentation but leave bulk properties unchanged as measured by rheology.
Ahron T. Verschleisser +3 more
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The Scientific World Journal, 2014 A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation.
S. Mashayekhi, M. Razzaghi, O. Tripak
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A Singular Nonlinear Volterra Integral Equation
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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Advanced Engineering Materials, EarlyView.Sustainability assessment requires methodologies that appropriately distinguish between additive and non‐additive material properties. A toxicity‐weighted scoring system is developed and applied that accounts for the disproportionate influence of highly toxic constituents through nonlinear weighting functions, providing more realistic estimates than ...
Seth Mehalic +2 more
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ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS [PDF]
Journal of Sciences, Islamic Republic of Iran, 1999 Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and ...
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Advanced Engineering Materials, EarlyView.Binder‐free laser powder bed fusion of 8YSZ with a femtosecond laser is used to map process windows linking scan strategy, heat accumulation, and grain growth. Time‐resolved thermography and simulations reveal thermal regimes that enable continuous, vitrified, and fine‐grained 8YSZ surface layers without absorptive additives and demonstrate ...
Markus Kühn +5 more
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