Abstract In this manuscript, we study a certain classical second-order fully nonlinear coupled system with generalized boundary conditions satisfying the monotone assumptions. Our new results unify existence criteria of linear and value problems (BVPs) that have been previously studied on case-by-case basis; for example, Dirichlet Neumann are special cases. The common feature is solution each B...

this study examined the effects of cooperative learning techniques (clt) on vocabulary achievement of reflective/impulsive iranian efl learners. from among 130 students at fajr institute in dehdasht, kohkiloyeh and boyer ahmad province, iran, 90 participants were selected based on their performance on the oxford placement test (opt). the participants were then divided into two experimental grou...

The concept of concavity is generalized to functions, y, satisfying nth order differential inequalities, (−1)n−ky(n)(t) ≥ 0, 0 ≤ t ≤ 1, and homogeneous two-point boundary conditions, y(0) = . . . = y(k−1)(0) = 0, y(1) = . . . = y(n−k−1)(1) = 0, for some k ∈ {1, . . . , n− 1}. A piecewise polynomial, which bounds the function, y, below, is constructed, and then is employed to obtain that y(t) ≥ ...

Abstract The paper presents an accelerating of solving potential boundary value problems (BVPs) with curvilinear boundaries by modified parametric integral equations system (PIES). fast multipole method (FMM) known from the literature was included into PIES. To consider complex shapes a boundary, modification binary tree used FMM is proposed. combined PIES, called also allows significant reduct...

Many boundary value problems (BVPs) or initial BVPs have non-smooth solutions, with jumps along lower-dimensional interfaces. The Explicit{Jump Immersed Interface Method (EJIIM) was developed following Li's Fast Iterative IIM (FIIIM), recognizing that the foundation for the eecient solution of many such problems is a good solver for elliptic BVPs. EJIIM generalizes the class of problems for whi...

We develop a data-driven model discovery and system identification technique for spatially-dependent boundary value problems (BVPs). Specifically, we leverage the sparse of nonlinear dynamics (SINDy) algorithm group regression techniques with set forcing functions corresponding state variable measurements to yield parsimonious system. The approach models forced systems governed by linear or ope...

regarding the importance of the prevention of hazards and adverse environmental impacts in industrial and populated areas such as southern parts of tehran city, the response of impulsive period ground-supported tanks were assessed. having considered the study area's soil properties, the response of ground-supported tanks was modelled. regarding the soil properties of southern parts of tehran, t...

We use basic results of general theory of …nite interpolation and linear algebra in order to prove the nonsingularity of a special class of centrosymmetric matrices arising in spectral methods in BVPs .

In this study, we introduce a new cubic B-spline (CBS) approximation method to solve linear two-point boundary value problems (BVPs). This is based on basis functions with for the second-order derivative. The theoretical derivative and error analysis have been successfully derived. We found that was O(h3) accurate. By using approximation, proposed O(h5) Four numerical consisting of ordinary dif...