Results 21 to 30 of about 1,214,457 (267)

L-Stable Block Backward Differentiation Formula for Parabolic Partial Differential Equations

Ain Shams Engineering Journal, 2016
In this paper, an L-stable Second Derivative Block Backward Differentiation Formula (SDBBDF) of order 5 is presented for the solutions of parabolic equations.
B.I. Akinnukawe, O.A. Akinfenwa, S.A. Okunuga   +2 more
doaj   +1 more source

Higher-order finite-difference methods for partial differential equations [PDF]

, 1997
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
core   +7 more sources

Solvability and completeness of solutions of parabolic differential-operator equations [PDF]

Математичні Студії, 2011
We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj  

ON APPLYING THE CONTINUOUS OPERATOR METHOD TO SOLVE THE DIRECT PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
doaj   +1 more source

Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

Nonlinear Analysis, 2002
Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of ...
Mifodijus Sapagovas
doaj   +1 more source

Qualitative analysis of solutions of parabolic type equations with nonlocal boundary conditions

Lietuvos Matematikos Rinkinys, 2010
The aim of the work is qualitative analysis of solutions of parabolic equations, non–negativity of solutions, investigation and modelling of physical parameters. All tasks were modelled using numerical analysis methods. Differential equations were solved
Jurij Novickij, Feliksas Ivanauskas
doaj   +1 more source

The Maximal Regularity of Nonlocal Parabolic Monge–Ampère Equations and Its Monotonicity in the Whole Space

Axioms
The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
doaj   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Trudinger's parabolic equation

Discrete and Continuous Dynamical Systems
We study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} Basic estimates are derived with the Galerkin Method.
Lindqvist, Peter, Parviainen, Mikko, Sarsa, Saara   +2 more
openaire   +2 more sources

Influence of TiC and TiN Ceramic Reinforcements on the Microstructure, Thermal Expansion Behavior, and Tensile Properties of Invar 36 Manufactured by Laser Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
This study examines Invar composites reinforced with titanium carbide (TiC) and titanium nitride (TiN) using laser powder bed fusion (LPBF). It presents the influence of reinforcements on microstructure, tensile properties, and thermal expansion. Results show that TiC effectively strengthens Invar while maintaining low thermal expansion, whereas TiN ...
Ayodeji Nathaniel Oyedeji, Natasha Sacks, Johannes Pötschke, Björn Matthey   +3 more
wiley   +1 more source