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Differential and Integral Models of TOKAMAK
Published 2004-01-01“…Use of differential methods (such as FDM or FEM) for this purpose may be complicated because of geometrical incommensurability of particular subregions in the investigated area or problems with the boundary conditions. That is why integral formulation of the problem may sometimes be an advantages. …”
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Integral equations with contrasting kernels
Published 2008-01-01“…In this paper we study integral equations of the form $x(t)=a(t)-\int^t_0 C(t,s)x(s)ds$ with sharply contrasting kernels typified by $C^*(t,s)=\ln (e+(t-s))$ and $D^*(t,s)=[1+(t-s)]^{-1}$. …”
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Integral transformation for nonlinear oscillators
Published 2025-03-01“…This paper introduces a generalized integral transform that encompasses the Laplace, Fourier, and numerous contemporary integral transforms as particular instances, while preserving their defining characteristics. …”
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