In this paper, linear stability analysis of non-prismatic beam resting on uniform Winkler-Pasternak elastic foundation is carried out based on Eringen's non-local elasticity theory. In the context of small displacement, the governing differential equation and the related boundary conditions are obtained via the energy principle. It is also assumed that the width of rectangle cross-section varie...

in this article, a numerical approximation to the solution of the newell-whitehead equation (nwe) and cauchy problem of ill-posed non-linear diffusion equation have been studied. the presented scheme is obtained by using the derivative of the cubic b-spline quasi-interpolation (bsqi) to approximate the spatial derivative of the dependent variable and first order forward difference to approximat...

in this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of routh harvest stability analysis. the problem of determining the optimal harvestpolicy is solved by invoking pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

In this work, we study the weighted Kirchhoff problem \[ \begin{cases} g\big( \int_{B} (w(x) |\Delta u|^{2}) \, dx \big) [\Delta \Delta u)] = f(x,u) &\textrm{in $B$}, \\ u > 0 \frac{\partial u}{\partial n} &\textrm{on $\partial B$}, \end{cases} \] where $B$ is unit ball of $\mathbb{R}^{4}$, $w(x) \big( \log \frac{e}{|x|} \big)^{\beta}$, singular logarithm weight in Adam's embedding, $g$ a conti...

unsteady flow through non - homogeneous and anisotropic porous media can be modeled by a partial differential equation.' this-equation cannot be solved analytically. hence, numerical methods. such as the finite element and the finite difference methods might be employed. in this study a mathematical model has been developed using the fully implicit finite difference method with control vol...