Search Results - "Rabago, Julius Fergy T."

A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional by Rabago, Julius Fergy T., Azegami, Hideyuki

“…The exterior Bernoulli problem is rephrased into a shape optimization problem using a new type of objective function called the Dirichlet-data-gap cost…”
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An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data by Rabago, Julius Fergy T., Azegami, Hideyuki

“…We propose a new shape optimization formulation of the Bernoulli problem by tracking the Neumann data. The associated state problem is an equivalent…”
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Comoving mesh method for certain classes of moving boundary problems by Sunayama, Yosuke, Kimura, Masato, Rabago, Julius Fergy T.

“…A Lagrangian-type numerical scheme called the “comoving mesh method” or CMM is developed for numerically solving certain classes of moving boundary problems…”
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Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement by T. Rabago, Julius Fergy, Azegami, Hideyuki

“…We aim to identify the geometry (i.e., the shape and location) of a cavity inside an object through the concept of thermal imaging. More precisely, we present…”
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Numerical solution to the exterior Bernoulli problem using the Dirichlet-Robin energy gap cost functional approach in two and three dimensions by Rabago, Julius Fergy T.

“…The exterior Bernoulli problem — a prototype stationary free boundary problem — is rephrased into a shape optimization setting using an energy-gap type cost…”
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On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method by Bacani, Jerico B., Rabago, Julius Fergy T.

“…The exterior Bernoulli free boundary problem was studied via shape optimization technique. The problem was reformulated into the minimization of the so-called…”
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Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements by Afraites, Lekbir, Rabago, Julius Fergy T.

“…This study revisits the problem of identifying the unknown interior Robin boundary of a connected domain using Cauchy data from the exterior region of a…”
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Well-defined solutions of a system of difference equations by Haddad, Nabila, Touafek, Nouressadat, Rabago, Julius Fergy T.

“…This note deals with the solution form of the system of difference equations x n + 1 = a x n y n - 1 y n - α + β , y n + 1 = b x n - 1 y n x n - β + α , n ∈ N…”
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Solution form of a higher‐order system of difference equations and dynamical behavior of its special case by Haddad, Nabila, Touafek, Nouressadat, Rabago, Julius Fergy T.

“…The solution form of the system of nonlinear difference equations xn+1=xn−k+1pynayn−kp+byn,yn+1=yn−k+1pxnαxn−kp+βxn,n∈N0,p,k∈N, where the coefficients a,b,α,β…”
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On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems by Rabago, Julius Fergy T

“…We expose here a novel application of the so-called coupled complex boundary method -- first put forward by Cheng et al. (2014) to deal with inverse source…”
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On an Open Question Concerning Product-Type Difference Equations by Rabago, Julius Fergy T.

“…In Yang et al. (Acta Math Univ Comenianae LXXX(1):63–70, 2011 ), Yang, Chen, and Shi examined the system of difference equations: x n = a y n - p , y n = b y n…”
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On the solutions of a second-order difference equations in terms of generalized Padovan sequences by Halim, Yacine, Rabago, Julius Fergy T

“…This paper deals with the solution, stability character and asymptotic behavior of the rational difference equation \begin{equation*} x_{n+1}=\frac{\alpha…”
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Solution Form of a Higher Order System of Difference Equation and Dynamical Behavior of Its Special Case by Haddad, Nabila, Touafek, Nouressadat, Rabago, Julius Fergy T

“…The solution form of the system of nonlinear difference equations \begin{equation*} x_{n+1} = \frac{x_{n-k+1}^{p}y_{n}}{a y_{n-k}^{p}+b y_{n}},\ y_{n+1} =…”
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On Generalized Fibonacci Numbers by Bacani, Jerico B, Rabago, Julius Fergy T

“…Applied Mathematical Sciences, Vol. 9, 2015, no. 52, 2595 - 2607 We provide a formula for the $n^{th}$ term of the $k$-generalized Fibonacci-like number…”
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Numerical solution to a free boundary problem for the Stokes equation using the coupled complex boundary method in shape optimization settings by Rabago, Julius Fergy T, Notsu, Hirofumi

“…A new reformulation of a free boundary problem for the Stokes equations governing a viscous flow with overdetermined condition on the free boundary is…”
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On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang's Conjecture by Rabago, Julius Fergy T

“…The purpose of this paper is twofold. First, we derive theoretically, using appropriate transformation on $x_n$, the closed-form solution of the nonlinear…”
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Forbidden Set of the Rational Difference Equation $x_{n+1} = x_n x_{n-k}/(ax_{n-k+1} +x_n x_{n-k+1} x_{n-k}) by Rabago, Julius Fergy T

“…This short note aims to answer one of the open problems raised by F. Balibrea and A. Cascales in \cite{bc}. In particular, the forbidden set of the nonlinear…”
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Olver's Method for Approximating Roots of p-Adic Polynomials Equations by Rabago, Julius Fergy T

“…Let $\mathbb{Z}_p[x]$ be the set of all functions whose coefficients are in the field of $p$-adic integers $\mathbb{Z}_p$. This work considers a problem of…”
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Effective Methods on Determining the Periodicity and Form of Solutions of Some Systems of Nonlinear Difference Equations by Rabago, Julius Fergy T

“…Recently, various systems of nonlinear difference equations, of different forms, were studied. In this existing work, two earlier published papers, due…”
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On Two Nonlinear Difference Equations by Rabago, Julius Fergy T, Bacani, Jerico B

“…The behavior of solutions of the following nonlinear difference equations \[ x_{n+1}=\displaystyle\frac{q}{p+x_n^{\nu}} \quad \text{and} \quad…”
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