On the Euler-alignment system with weakly singular communication weights

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations. Weakly singular integral equation is one of the principle type of integral equations which was introduced by Abel for the first time. These problems are often dependent on a noise source which a...

On the Volterra Integral Equation with Weakly Singular Kernel

the relationship of wtc with communication apprehension and self-perceived communication competene in english and persian context

بیشتر تحقیقات پیشین در زمینه تمایل به برقراری ارتباط به رابطه آن با عوامل فردی چون سن، جنس، نوع شخصیت و... صورت گرفته است. در صورتی که مطالعات کمتری به بررسی رابطه تمایل به برقراری ارتباط زبان آموزان فارسی زبان با ترس از برقراری ارتباط و توانش خود ادراکانه آنها در برقراری ارتباط در محیط فارسی و انگلیسی انجام شده است. بر اساس نظریه الیس (2008) تمایل به برقراری ارتباط جایگاه مهمی در زمینه آموزش م...

Global regularity for the fractional Euler alignment system

We study a pressureless Euler system with a non-linear density-dependent alignment term, originating in the Cucker-Smale swarming models. The alignment term is dissipative in the sense that it tends to equilibrate the velocities. Its density dependence is natural: the alignment rate increases in the areas of high density due to species discomfort. The diffusive term has the order of a fractiona...

Multivariate Jacobi polynomials with singular weights

First we give a compact treatment of the Jacobi polynomials on a simplex in IR which exploits and emphasizes the symmetries that exist. This includes the various ways that they can be defined: via orthogonality conditions, as a hypergeometric series, as eigenfunctions of an elliptic pde, as eigenfunctions of a positive linear operator, and through conditions on the Bernstein–Bézier form. We the...