Results 31 to 40 of about 743,174 (312)

General solutions’ laws of linear partial differential equations I

open access: yesPartial Differential Equations in Applied Mathematics, 2022
Z2and Z3transformations are proposed for the first time in this paper, combined with the previously proposed Z1transformation, the general solutions of many kinds of n-ary m-order linear partial differential equations (PDEs), including the famous ...
Hong Lai Zhu
doaj   +1 more source

Fourth-Order Difference Scheme and a Matrix Transform Approach for Solving Fractional PDEs

open access: yesMathematics, 2023
Proposing a matrix transform method to solve a fractional partial differential equation is the main aim of this paper. The main model can be transferred to a partial-integro differential equation (PIDE) with a weakly singular kernel.
Zahrah I. Salman   +3 more
doaj   +1 more source

The hyperbolic equation with fractional derivative in modelling the polymer concrete behaviour under constant load [PDF]

open access: yesE3S Web of Conferences, 2023
The paper considers an inhomogeneous partial differential equation of hyperbolic type containing both second order partial derivatives and fractional derivatives of an order lower than the second order on the spatial variable.
Kirianova Ludmila
doaj   +1 more source

Validity of Galerkin Method at Beam’s Nonlinear Vibrations of the Single Mode with the Initial Curvature

open access: yesBuildings, 2023
A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method.
Yunbo Zhang, Kun Huang, Wei Xu
doaj   +1 more source

Limit cycles in the presence of convection, a first order analysis [PDF]

open access: yes, 2006
We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads pattern outwards from the source. Convection adds instability to the reaction-diffusion system.
Flach, E. H., Norbury, John, Schnell, S.
core   +1 more source

Constructive factorization of LPDO in two variables

open access: yes, 2005
We study conditions under which a partial differential operator of arbitrary order $n$ in two variables or ordinary linear differential operator admits a factorization with a first-order factor on the left.
A. Loewy   +8 more
core   +1 more source

An Entire Spectral Determinant for Semiclassical Quantization [PDF]

open access: yes, 1993
We show that the eigenvalues of the first order partial differential equation derived by quasi-classical approximation of the Schr\"odinger equation can be computed from the trace of a classical operator.
Vattay, Gabor
core   +3 more sources

Interpretation of Frenkel’s theory of sintering considering evolution of activated pores: II. Model and reliability [PDF]

open access: yesScience of Sintering, 2015
Frenkel's liquid-phase sintering mechanism has essential influence on the sintering of materials, however, by which only the initial 10% during isothermal sintering can be well explained. To overcome this shortage, Nikolić et al.
Yu C.L.   +5 more
doaj   +1 more source

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

Solving Parabolic Partial Differential Equations using Modified Bellman's Method with G-Spline Interpolation

open access: yesمجلة بغداد للعلوم, 2010
The aim of this paper is to approximate the solution of the parabolic partial differential equations (heat equations) using Bellman's method with the cooperation of the G-spline interpolation formula.
Osama H. Mohammed
doaj   +1 more source

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