Results 31 to 40 of about 2,400,137 (292)

Analytical Solution to 1D Compressible Navier-Stokes Equations

Journal of Function Spaces, 2021
There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t ...
Changsheng Dou, Zishu Zhao
doaj   +1 more source

An Analytical Solution for Non-Linear Viscoelastic Impact

Mathematics, 2021
The paper presents an analytical solution for the centric viscoelastic impact of two smooth balls. The contact period has two phases, compression and restitution, delimited by the moment corresponding to maximum deformation.
Stelian Alaci, Constantin Filote, Florina-Carmen Ciornei, Oana Vasilica Grosu, Maria Simona Raboaca   +4 more
doaj   +1 more source

An analytical model for bore-driven run-up [PDF]

, 2008
We use a hodograph transformation and a boundary integral method to derive a new analytical solution to the shallow-water equations describing bore-generated run-up on a plane beach.
DAVID PRITCHARD, Garabedian, Guard, PAUL A. GUARD, Ritter, TOM E. BALDOCK   +5 more
core   +1 more source

Analytical solution of non-linear fractional diffusion equation

Advances in Difference Equations, 2021
In this paper, we obtain an approximate/analytical solution of nonlinear fractional diffusion equation using the q-homotopy analysis transform method. The existence and uniqueness of the solution for this problem are also derived.
Obaid Alqahtani
doaj   +1 more source

Semi-analytical Solution of Dirac equation in Schwarzschild Geometry [PDF]

, 1999
Separation of the Dirac equation in the spacetime around a Kerr black hole into radial and angular coordinates was done by Chandrasekhar in 1976. In the present paper, we solve the radial equations in a Schwarzschild geometry semi-analytically using ...
Abramowitz M, Banibrata Mukhopadhyay, Chakrabarti S K, Chandrasekhar S, Chandrasekhar S, Davydov A M, Goldberg J N, Jin W M, Mathews J, Newman E, Sandip K Chakrabarti   +10 more
core   +2 more sources

Convergency and Stability of Explicit and Implicit Schemes in the Simulation of the Heat Equation

Applied Sciences, 2021
Some strategies for solving differential equations based on the finite difference method are presented: forward time centered space (FTSC), backward time centered space (BTSC), and the Crank-Nicolson scheme (CN).
Franyelit Suárez-Carreño, Luis Rosales-Romero   +1 more
doaj   +1 more source

Analytical solution of ttbar dilepton equations

, 2006
The top quark antiquark production system in the dilepton decay channel is described by a set of equations which is nonlinear in the unknown neutrino momenta.
Sonnenschein, Lars
core   +3 more sources

Analytical Solution of Generalised Mandel’s Problem [PDF]

ITM Web of Conferences
Mandel’s problem considers the time-dependent deformation of a fully saturated rectangular porous material with drainage at the lateral sides and steady load from the top and bottom.
Mahdiyasa Adilan W., Justica Alma, Prastoro Tarasinta   +2 more
doaj   +1 more source

An Analysis Method of Symplectic Dual System for Decagonal Quasicrystal Plane Elasticity and Application

Crystals, 2022
The symplectic solution system of decagonal quasicrystal elastic mechanics is considered. Hamiltonian dual equations together with the boundary conditions are investigated by utilizing the principle of minimum potential energy.
Guangfang Li, Lianhe Li
doaj   +1 more source

Analytical solution methods for geodesic motion

, 2014
The observation of the motion of particles and light near a gravitating object is until now the only way to explore and to measure the gravitational field.
Hackmann, Eva, Lämmerzahl, Claus
core   +1 more source