Abstract. It is found the exact solution of the Poisson equation for the multidimensional space with topology M3+d = R3 ×T d . This solution describes smooth transition from the Newtonian behavior 1/r3 for distances bigger than periods of tori (the extra dimension sizes) to multidimensional behavior 1/r1+d 3+d in opposite limit. In the case of one extra dimension d = 1, the gravitational potent...

In this study, we aim to construct a traveling wave solution for nonlinear partial differential equations. In this regards, a cosine-function method is used to find and generate the exact solutions for three different types of nonlinear partial differential equations such as general regularized long wave equation (GRLW), general Korteweg-de Vries equation (GKDV) and general equal width wave equ...

In this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we apply this new algorithm to resolve the nonlinear local fractional gas dynamics equation and nonlinear local fractional Klein-Gordon equation, so we get the desired non-differentiable exact solutions. The steps to solve the examples a...

Analytical solutions for non-steady flow are an important aspect of mathematical modeling in all fields of computational science. An analytical solution provides an exact solution for a specific (simplified) test case, which then can be used to test and verify numerical solutions. Within soil physics, there has been a multitude of analytical solutions that model transient flow through onedimens...

In this paper, first the validity of 3-D DDA is examined by comparing its solution for dynamic block displacement with analytical solution. Displacement of a single block on an inclined plane subjected to a dynamic loading is studied for analytical solution with respect to the frictional resistance offered by the inclined slope. 3-D DDA predicts accurately the analytical displacements. The modi...

Abstract We consider Maxwell- f ( R ) gravity and obtain an exact charged black hole solution with dynamic curvature in D -dimensions. Considering a spherically symmetric metric ansatz without specifying the form of we find general This can reduce to Reissner–Nordström (RN) -dimensions Einstein known solutions constant gravity. Restricting parameters get polynomial which reveal novel properties...

We investigate the regime of fully developed homogeneous and isotropic turbulence of the Navier-Stokes (NS) equation in the presence of a stochastic forcing, using the nonperturbative (functional) renormalization group (NPRG). Within a simple approximation based on symmetries, we obtain the fixed-point solution of the NPRG flow equations that corresponds to fully developed turbulence both in d=...

For initial boundary value problem (IBVP) for onedimensional quasilinear parabolic equations with generalized solutions an usual linearized difference scheme is constructed. The uniform parabolicity condition 0 < k 1 ≤ k(u) ≤ k 2 is assumed to be fulfilled for the sign alternating solution u(x, t) ∈ ¯ D(u) only in the domain of exact solution values (unbounded nonlinearity). On the basis of the...