Application of Daftardar Jafari Method to First Grade MHD Squeezing Fluid Flow in a Porous Medium with Slip Boundary Condition by Inayat Ullah, M. T. Rahim, Hamid Khan

“…The governing equations are transformed to a single nonlinear boundary value problem. Daftardar Jafari Method (DJM) is used to solve the problem in order to obtain the velocity profile of the fluid. …”
Get full text

Binary mixture convection in a horizontal channel under the Soret effect action by Stepanova Irina

“…All possible statements of boundary value problems are studied in order to analyse thermal diffusion separation of binary mixture in a long horizontal channel with rigid walls. …”
Get full text

Multiple Positive Solutions of Third-Order BVP with Advanced Arguments and Stieltjes Integral Conditions by Jian Chang, Jian-Ping Sun, Ya-Hong Zhao

“…We consider the following third-order boundary value problem with advanced arguments and Stieltjes integral boundary conditions: u′′′t+ft,uαt=0,  t∈0,1,  u0=γuη1+λ1u and u′′0=0,  u1=βuη2+λ2u, where 0<η1<η2<1, 0≤γ,β≤1, α:[0,1]→[0,1] is continuous, α(t)≥t for t∈[0,1], and α(t)≤η2 for t∈[η1,η2]. …”
Get full text

CH of masonry materials via meshless meso-modeling by Giuseppe Giambanco, Emma La Malfa Ribolla, Antonino Spada

“…The structural macroscopic behaviour is obtained making use of the Computational Homogenization (CH) technique based on the solution of the boundary value problem (BVP) of a detailed Unit Cell (UC) chosen at the meso-scale and representative of the heterogeneous material. …”
Get full text

Nonlinear eigenvalue problems in Sobolev spaces with variable exponent by Teodora-Liliana Dinu

“…We study the boundary value problem -div⁡((|∇u|p1(x)-2+|∇u|p2(x)-2)∇u)=f(x,u) in Ω, u=0 on ∂Ω, where Ω is a smooth bounded domain in ℝN. …”
Get full text

Mathematical Model of Pipeline Abandonment and Recovery in Deepwater by Xia-Guang Zeng, Meng-Lan Duan, Chen An

“…The mathematical model of pipeline abandonment and recovery is a moving boundary value problem, which means that it is hard to determine the length of the suspended pipeline segment. …”
Get full text

Shaping Single Offset Reflector Antennas Using Local Axis-Displaced Confocal Quadrics by Rafael A. Penchel, José R. Bergmann, Fernando J. S. Moreira

“…This work investigates a novel numerical procedure for the solution of an exact formulation for the Geometrical Optics synthesis of a single reflector antenna by simultaneously imposing Snell’s Law and Conservation of Energy in a tube of rays, yielding a second-order nonlinear partial differential equation of Monge-Ampère type, which can be solved as a boundary value problem. The investigation explores the interpolating properties of confocal quadrics to locally represent the shaped reflector surface. …”
Get full text

Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions by Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas

“…We consider a discrete fractional boundary value problem of the form Δαu(t)=f(t+α-1,u(t+α-1)),  t∈[0,T]ℕ0:={0,1,…,T},  u(α-2)=0,  u(α+T)=Δ-βu(η+β), where 1<α≤2, β>0, η∈[α-2,α+T-1]ℕα-2:={α-2,α-1,…,α+T-1}, and f:[α-1,α,…,α+T-1]ℕα-1×ℝ→ℝ is a continuous function. …”
Get full text

Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator by Abdellatif Boutiara, Mohammed M. Matar, Mohammed K. A. Kaabar, Francisco Martínez, Sina Etemad, Shahram Rezapour

“…The existence and uniqueness results to the given boundary value problem are established with the help of the Dhage’s technique and Banach contraction principle. …”
Get full text

Effects of diffraction and radiation on a submerged sphere by Matiur Rahman

“…This type of problem is usually solved by using potential theory, and mathematically, we look for the solution of a velocity potential which satisfies Laplace's equation along with the free surface, body surface, and bottom boundary conditions in conjunction with a radiation condition. This boundary value problem, in fact, consists of two separate problems: (a) diffraction problem and (b) radiation problem.…”
Get full text

Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications by Gonca Durmaz, Gülhan Mınak, Ishak Altun

“…Furthermore, we use our results to obtain the existence and uniqueness result for a solution of fourth order two-point boundary value problem.…”
Get full text

Process of cracking in reinforced concrete beams (simulation and experiment) by I. N. Shardakov, A. P. Shestakov, I.O. Glot, A.A. Bykov

“…The paper presents the results of experimental and theoretical investigations of the mechanisms of crack formation in reinforced concrete beams subjected to quasi-static bending. The boundary-value problem has been formulated in the framework of brittle fracture mechanics and solved using the finite-element method. …”
Get full text

On Fixed Point of Quasi Contraction with Application to Integral Equation by Rhoda Chiroma, Shehu Shagari Mohammed, Jamilu Jiddah

“…As an application, one of our obtained corollaries is utilised to investigate new existence criteria for solving a class of boundary value problem.…”
Get full text

Analytical solution for the problem of pure bending of orthotropic micropolar plate by Damjan Jurković, Gordan Jelenić, Sara Grbčić Erdelj

“…When analysing the problem of pure bending of a plate, it can be noticed that, for cylindrical bending, a spatial problem collapses into a plane-strain problem. For such a boundary-value problem of the Cosserats' continuum, three engineering parameters are required: Young’s modulus, Poisson’s ratio and the characteristic length for bending. …”
Get full text

Finite and Infinte Time Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities by Milena Dimova, Natalia Kolkovska, Nikolai Kutev

“…In this paper, we investigate the global behavior of the weak solutions to the initial boundary value problem for the nonlinear wave equation in a bounded domain. …”
Get full text

Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions by Bashir Ahmad, Juan J. Nieto

“…We study a Dirichlet boundary value problem for Langevin equation involving two fractional orders. …”
Get full text

Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata by Xiaohua Ma, Zhenyu Wang, Yuanqiang Cai, Changjie Xu

“…In this paper, we explore the mixed boundary-value problem of the rocking vibration of an elastic strip foundation on elastic soil with saturated substrata via Biot dynamic equations. …”
Get full text

First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation by Marco Pedro Ramirez-Tachiquin, Cesar Marco Antonio Robles Gonzalez, Rogelio Adrian Hernandez-Becerril, Ariana Guadalupe Bucio Ramirez

“…Based upon the elements of the modern pseudoanalytic function theory, we analyze a new method for numerically solving the forward Dirichlet boundary value problem corresponding to the two-dimensional electrical impedance equation. …”
Get full text

Global boundedness of solutions to a chemotaxis consumption model with signal dependent motility and logistic source by Baghaei, Khadijeh

“…$For the above system, we prove that the corresponding initial boundary value problem admits a unique global classical solution which is uniformly-in-time bounded. …”
Get full text

Natural Frequencies and Mode Shapes of Mechanically Coupled Microbeam Resonators with an Application to Micromechanical Filters by Bashar K. Hammad

“…To demonstrate the methodology, we analyze a mechanical filter composed of two beams coupled by a weak beam. The boundary-value problem (BVP) for the linear vibration problem of the coupled beams depends on the number of beams and the boundary conditions of the attachment points. …”
Get full text