in this paper we investigate a nonlinear evolution model described by the rosenau-kdv equation. we propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of o(τ2 + h2). furthermore we show the existence and uniqueness of numerical solutions. comparing the numerical results with other methods in...

We explore the connections between the well-studied Aztec Diamond graphs and a new family of graphs called the Half-Hexagons, discovered by Jonathan Novak. In particular, both families of graphs have very simple domino shuffling algorithms, which turn out to be intimately related. This connection allows us to prove an “arctic parabola” theorem for the Half-Hexagons as a corollary of the Arctic ...

To cite: Chadwick A, Thwaites V, Holland M, et al. BMJ Case Rep Published online: [please include Day Month Year] doi:10.1136/bcr-2017219841 DESCRIPTION A Nigerian-born British national aged 24 years presented to our tuberculosis (TB) clinic after a positive, screening, quantiFERON blood test. She had been in the country for 12 years, had no known exposure to TB and no previous medical history....

A 19 year old male, student, presented with a history of progressive loss of vision from right eye since one and half year and from the left eye since one year. The patient also complained of multiple episodes of generalized seizures three months back. Patient was diagnosed with tubercular choroiditis with chronic kidney disease with seizure disorder. The patient was evaluated but no intracrani...

Consider an interval I ⊆ Q . Set S(I) = {m ∈ N : ∃ n ∈ N , mn ∈ I}. This turns out to be a numerical semigroup, and has been the subject of considerable recent investigation (see Chapter 4 of [2] for an introduction). Special cases include modular numerical semigroups (see [4]) where I = [mn , m n−1 ] (m,n ∈ N ), proportionally modular numerical semigroups (see [3]) where I = [mn , m n−s ] (m,n...

Considerable attention has been given to the study of propagation surface waves in order improve efficiency and lifetime acoustic wave devices such as transducers. In this paper, an investigation Rayleigh functionally graded piezoelectric material is presented. The assumed take place a transversely isotropic half-space with properties varying continuously along thickness direction. obtained res...