Solutions of some nonlinear partial differential equations [PDF]
, 2015 PHD, SOMThe prime objective and motivation in carrying out the proposed study is to demonstrate the importance and efficacy of group theoretic techniques and differential qudrature method to find analytical and numerical solutions of some nonlinear ...
Verma, Anjali
core
Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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Soft Mechanical‐Electrical Logic Using Liquid Metal‐Filled 3D‐Printed Architectures
Advanced Engineering Materials, EarlyView.We present 3D‐printed soft mechanical–electrical logic elements that use liquid metal–filled silicone tubes actuated by thermoplastic polyurethane/polylactic acid (TPU/PLA) architectures to produce Boolean operations. Complementary normally open and normally closed unit cells perform repeatable binary transitions and can be combined into more complex ...
Christoph Lehmann +2 more
wiley +1 more source
On the viscosity solutions of a stochastic differential utility problem [PDF]
We prove existence, uniqueness and gradient estimates of stochastic differential utility as a solution of the Cauchy problem for degenerate nonlinear partial differential equation.
Andrea Pascucci, Fabio Antonelli
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Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley +1 more source
A fractional mathematical model with nonlinear partial differential equations for transmission dynamics of severe acute respiratory syndrome coronavirus 2 infection. [PDF]
Healthc Anal (N Y), 2023 Thabet H, Kendre S.
europepmc +1 more source
Advanced Engineering Materials, EarlyView.This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca +9 more
wiley +1 more source
Moving mesh methods for solving parabolic partial differential equations [PDF]
, 2010 In this thesis, we introduce and assess a new adaptive method for solving non-linear parabolic partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements.
Marlow, Robert
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Proof of the solvability of a system of partial differential equations in the nonlinear theory of shallow shells of Timoshenko type [PDF]
, 2020 We study the solvability of a system of second-order partial differential equations under given boundary conditions. To prove the existence of a solution of the system, we reduce it to a single nonlinear partial differential equation whose solvability is
Timergaliev S.
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Modeling Heavy Metal Sorption and Interaction in a Multispecies Biofilm
Mathematics, 2019 A mathematical model able to simulate the physical, chemical and biological interactions prevailing in multispecies biofilms in the presence of a toxic heavy metal is presented.
Berardino D’Acunto +3 more
doaj +1 more source