Sentence examples for accurate difference from inspiring English sources
A second-order accurate difference scheme is developed to study cavitation in unsteady, one-dimensional, inviscid, compressible flows of water with gas.
The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions – local solutions of the underlying differential equation.
The method relies on high-order accurate difference schemes using the Summation-By-Parts operators with weak boundary and interface conditions applied to the Hodgkin–Huxley equations.
By using the weighted and shifted Grünwald Letnikov (WSGL) formula to approximate the nonlocal fractional operators, we design a series of second order accurate difference schemes for the considered models.
In this work, we employ one-dimensional elliptic type models as the starting point to develop and numerically test high-order accurate Difference Potentials Method (DPM) for variable coefficient elliptic problems in heterogeneous media.
A highly accurate difference schemes are proposed and investigated under the conditions imposed on the given boundary values to approximate the solution of the 3D Laplace equation and its first and pure second derivatives on a cubic grid.
The proposed method, a fourth-order accurate finite difference scheme, is more accurate and is more efficient than the conventional second-order accurate finite difference techniques such as the FTCS explicit finite difference scheme and the Saulyev explicit finite difference scheme that are proposed in [13].
A third-order accurate finite difference weighted essentially non-oscillatory (WENO) scheme with Lax Friedrichs flux splitting is utilized to derive the difference equation.
We discretize the equations using high-order accurate finite difference summation-by-parts (SBP) operators.
A stable high-order accurate finite difference method for the time-dependent Dirac equation is derived.
Strictly stable high-order accurate finite difference approximations are derived, for linear initial boundary value problems.
