Results 51 to 60 of about 3,638 (308)
A solvability conditions of mixed problems for equations of parabolic type with involution
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this work the partial differential equations with involutions are considered. The mixed problems for the parabolic type equation, with constant and variable constants, corresponding to the Dirichlet type boundary conditions is investigated.
A.A. Sarsenbi
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ABOUT MODEL OF LOADED PARTIAL HYPERBOLIC-PARABOLIC DIFFERENTIAL EQUATION OF SECOND ORDER [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 We studied a models of loaded equation of mixed hyperbolic-parabolic type with characteristicly and not characteristicly modifying line. For the proposed equation models boundary value problem is considered and solutions is written out.
K.U. Khubiev
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A numerical method for parabolic complementarity problem
Electronic Research Archive, 2023 In this paper, we study the numerical solution of a parabolic complementarity problem which is a widely used model in many fields, such as option pricing, risk measures, etc.
Haiyan Song, Fei Sun
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An inverse problem for a parabolic partial differential equation
Rocky Mountain Journal of Mathematics, 1983 On cherche le coefficient a(x) ainsi que la temperature u(x,t) dans le probleme aux valeurs initiales suivant: u t (x,t)-u xx (x,t)+u(x)u(x,t)=o ...
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Emerging Opportunities of Colloidal Quantum Dots for Photocatalytic Organic Transformations
Advanced Materials, EarlyView.Colloidal quantum dots (QDs) have gained significant attention as photocatalysts in organic transformations in recent years. This review highlights QDs’ distinctive features, including the quantum size effect, compositional and structural diversity, tunable surface chemistry, and photophysics.
Qinxuan Cao +4 more
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Computing optimal control with a quasilinear parabolic partial differential equation [PDF]
Surveys in Mathematics and its Applications, 2009 This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. Necessary
M. H. Farag
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Discrete Dynamics in Nature and Society, 2012 The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented.
Allaberen Ashyralyev, Zafer Cakir
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Advanced Materials, EarlyView.This study reports the discovery of a stable γ‐phase in Cu6Te3‐xS1+x, achieving high thermoelectric performance with a Seebeck coefficient up to 200 µVK⁻¹ and ultralow thermal conductivity (≈0.25 Wm⁻¹K⁻¹). The material eliminates phase transitions, exhibits a zT of ≈1.1 at 500 K, and offers a cost‐effective, eco‐friendly alternative for waste heat ...
Oleksandr Cherniushok +3 more
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Advanced Materials Interfaces, EarlyView.In situ synthesis of nanomaterials within microfluidic reactors in dynamic mode boosts the growth rate. Notably, microfluidic reactors with optimized tree‐branched microchannel networks enable outstanding homogeneity of 99% and excellent nanowires uniformity.
Mazen Erfan +5 more
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Mixed problem for the singular partial differential equation of parabolic type
Karpatsʹkì Matematičnì Publìkacìï, 2018 The scheme for solving of a mixed problem is proposed for a differential equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(c(x)\frac{\partial T}{\partial x}\right) -g(x)\, T\] with coefficients $a(x)$, $g(x)$ that are the
O.V. Makhnei
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