Numerical methods in engineering

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• MASAHİRO YAMAMOTO

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• METİN AYDOĞDU

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• İBRAHİM ÖZKOL

We consider a one-dimensional fractional diffusion equation: ∂ α t u(x, t) = ∂ ∂x p(x) ∂u ∂x (x, t) , 0 < x < ℓ, where 0 < α < 1 and ∂ α t denotes the Caputo derivative in time of order α.We attach the homogeneous Neumann boundary condition at x = 0, ℓ and the initial value given by the Dirac delta function.We prove t…

• MASAHİRO YAMAMOTO

Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in 2000. The roots of PD can be traced back to the early works of Gabrio Piola according to dell’Isola et al. PD has been attractive to researchers as it is a non-local formulation in an integral form, unlike the local differential…

• ALI JAVILI

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• İLKER TEMİZER

Abstract In this paper, a multi‐scale analysis method for heat transfer in heterogeneous solids is presented. The principles of the method rely on a two‐scale computational homogenization approach which is applied successfully for the stress analysis of multi‐phase solids under purely mechanical loading. The present p…

• İZZET ÖZDEMİR

We consider a backward problem in time for a time-fractional partial differential equation in one-dimensional case, which describes the diffusion process in porous media related with the continuous time random walk problem. Such a backward problem is of practically great importance because we often do not know the ini…

• MASAHİRO YAMAMOTO

Nonlocal differential and integral operators with fractional order and fractal dimension have been recently introduced and appear to be powerful mathematical tools to model complex real world problems that could not be modeled with classical and nonlocal differential and integral operators with single order. To stress…

• ALİ AKGÜL

Abstract This paper focuses on the application of NURBS‐based isogeometric analysis to Coulomb frictional contact problems between deformable bodies, in the context of large deformations. A mortar‐based approach is presented to treat the contact constraints, whereby the discretization of the continuum is performed wit…

• İLKER TEMİZER

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• MUSTAFA TURHAN ÇOBAN

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• MUSTAFA TURHAN ÇOBAN