Results 81 to 90 of about 1,364,813 (176)

Numerical differentiation of fractional order derivatives based on inverse source problems of hyperbolic equations

Mathematical Modelling and Analysis
In this paper, we mainly study the numerical differentiation problem of computing the fractional order derivatives from noise data of a single variable function.
Zewen Wang, Shufang Qiu, Xiuxing Rui, Wen Zhang   +3 more
doaj   +1 more source

Carrier Mobility Enhancement in Two‐Dimensional Semiconductor

Interdisciplinary Materials, Volume 5, Issue 5, Page 796-833, September 2026.
In this review, we comprehensively describe recent progress in carrier mobility enhancement strategies for 2D semiconductor‐based field‐effect transistors considering the role of intrinsic defects, electrode contact interfaces, dielectric engineering, and lattice strain engineering.
Huchanghui Zuo, Yuehao Li, Xiangkai Liu, Chao Tan, Guohua Hu, Mingdong Dong, Zegao Wang   +6 more
wiley   +1 more source

Boundary problems for mixed parabolic-hyperbolic equations with two lines of changing type and fractional derivative

Electronic Journal of Differential Equations, 2014
In this article, we study a boundary value problem for a parabolic-hyperbolic equation with Caputo fractional derivative. Under certain conditions, we prove its unique solvability using methods of integral equations and Green's functions.
Bakhtiyor Kadirkulov
doaj  

A Semi‐Discrete Lagrangian‐Eulerian Numerical Scheme for Diffusive‐Dispersive Conservation Laws With Discontinuous Coefficient

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu, Wanderson Lambert, Erivaldo Lima   +2 more
wiley   +1 more source

Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley   +1 more source

Wave Propagation in 3‐D Poroelastic Media Accounting for Both Mesoscopic and Global Flow Effects

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 9, September 2026.
Abstract Biot's theory of poroelasticity is widely recognized as a fundamental framework for describing wave‐induced fluid flow in mesoscopic heterogeneous porous media. However, dynamic numerical modeling of velocity dispersion and attenuation in heterogeneous porous media remains challenging due to (a) the stiffness of Biot's equations and (b) the ...
Zhiyu Hou, Yury Alkhimenkov, Beatriz Quintal   +2 more
wiley   +1 more source

Implications of Thermal Weakening and Magma Compressibility for Volcano Monitoring

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 9, September 2026.
Abstract Magmatic intrusion and volcanic deformation are traditionally approximated with an inflating cavity in an elastic halfspace. Various analytical models predict surface displacement as a function of pressure or volume change, depth, and elastic crustal properties.
A. Spang, A. Piccolo, M. Gerbault, B. J. P. Kaus, M. Thielmann   +4 more
wiley   +1 more source

On a boundary value problem for a parabolic-hyperbolic equation of the fourth order

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper a boundary value problem for a fourth-order equation of parabolic-hyperbolic type within a pentagonal domain was investigated. In the equation under consideration, one characteristic aligns with the Ox axis while the other aligns with the ...
M. Mamajonov
doaj   +1 more source

Catenary Rheological Model: A Compact Function for Describing Ceramic Suspension Viscosity

Journal of the American Ceramic Society, Volume 109, Issue 9, September 2026.
ABSTRACT The Catenary Rheological Model (CRM) provides a compact functional description of the viscosity of ceramic suspensions across a wide range of solid loadings. The proposed formulation captures both dilute and concentrated regimens within a single analytical expression using only two parameters.
Patrik Sokola, David Markusík, František Šoukal, Tomáš Opravil, Martin Sahuľ, Petr Ptáček   +5 more
wiley   +1 more source

Boundary Value Problems with Integral Gluing Conditions for Fractional-Order Mixed-Type Equation

International Journal of Differential Equations, 2011
Analogs of the Tricomi and the Gellerstedt problems with integral gluing conditions for mixed parabolic-hyperbolic equation with parameter have been considered.
A. S. Berdyshev, E. T. Karimov, N. Akhtaeva   +2 more
doaj   +1 more source