Results 31 to 40 of about 743,174 (312)
General solutions’ laws of linear partial differential equations I
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
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]
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
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]
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
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]
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]
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
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
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