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All Journal Indonesian Journal of Science and Technology Journal of Fundamental Mathematics and Applications
Agus Yodi Gunawan
Industrial and Financial Mathematics Research Group, Institut Teknologi Bandung (ITB)
Computer Science & IT Decision Sciences, Operations Research & Management Environmental Science

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FUNGSI WRIGHT SEBAGAI SOLUSI ANALITIK PERSAMAAN DIFUSI-GELOMBANG FRAKSIONAL PADA MEDIA VISKOELASTIS Ray Novita Yasa; Agus Yodi Gunawan
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1661.025 KB) | DOI: 10.14710/jfma.v3i1.7411

Abstract

A fractional diffusion-wave equations in a fractional viscoelastic media can be constructed by using equations of motion and kinematic equations of viscoelasticmaterial in fractional order. This article concerns the fractional diffusion-wave equations in the fractional viscoelastic media for semi-infinite regions that satisfies signalling boundary value problems. Fractional derivative was used in Caputo sense. The analytical solution of the fractional diffusion-wave equation in the fractional viscoelastic media was solved by means of Laplace transform techniques in the term of Wright function for simple form solution. For general parameters, Numerical Inverse Laplace Transforms (NILT) was used to determine the solution.
The Effects of Surfactant on the Evolution of a Thin Film under a Moving Liquid Drop Kartika Yulianti; Agus Yodi Gunawan; Edy Soewono
Indonesian Journal of Science and Technology Vol 5, No 1 (2020): IJOST: April 2020
Publisher : Universitas Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/ijost.v5i1.23100

Abstract

The effect of surfactant on the thickness of a thin film bounded by a solid surface and a moving liquid drop was investigated. We proposed a model so that parameters from the liquid drop can be stated in a parameter that acts as normal pressure to the thin film. Using the lubrication approximation, the model was reduced to a set of nonlinear partial differential equations in terms of the film thickness and surfactant concentration. Since we were interested in the role of the surfactant in lifting up the drop, we assumed that the density of the drop is higher than the density of the thin film. Numerically, the results show that the presence of the surfactant tends to delay the decrease of the film thickness insignificantly. However, when the surfactant was added into the system, it tends to significantly increase the film thickness for a certain range value of the normal pressure.
Co-Authors Edy Soewono Kartika Yulianti Ray Novita Yasa