Differential equationmodels are frequently used to describe non鈥恖inear trajectories of longitudinal data. This study proposes a new approach to estimate the parameters in differential equationmodels. Instead of estimating derivatives from the observed data first and then fitting a differential equationto...
Computational Complexity of One-Step Methods for a Scalar Autonomous Differential Equation. The problem is to calculate an approximate solution of an initial value problem for a scalar autonomous differential equation. A generalized notion of a no... AG Werschulz 被引量: 0发表: 1976年 On the ...
In ExaHyPE, oneAPI has been instrumental in implementing the numerical compute kernels for hyperbolic equation systems, making a huge difference in performance with SYCL providing the ideal abstraction and agnosticism for exploring these variations. This versatility enabled our team, together with Intel ...
whereEis the Young’s modulus,Ris the radius of the spherical probe andvis the Poisson ratio (commonly assumed to be 0.5). For the second equality of Equation2it has been assumed thatE = 2 G(1 + v)30. Moreover from Equation2it is possible to educe the functionality of Λ...
A necessary condition for a (non-autonomous) ordinary differential equation to be exactly solved by a one-step, finite difference method is that the principal term of its local truncation error be null. A procedure to determine some ordinary differential equations exactly solved by a given numerica...
the investigated films can get good AR performances. The Λ-shape transmittance curves in Fig.5a, b show the typical thickness-wavelength dependent destructive interference, followingd = λ/4ncequation. For single-layer ARC, it can promote the transmittance to the maximum at the wavelength “...
In one case, we have kept the corona discharge time constant uniform along the whole channel and, in the other case, it is assumed to increase linearly with height according to the equation 𝜏(𝑧)=𝜏0+0.25×10−9𝑧τ(z)=τ0+0.25×10−9z. The latter variation is identical to...
With your finger or mouse, drag a selection around the equation that you created in Step 1. When you let go, all ink strokes or text in your equation should appear selected. Tip: If you're struggling to get your pen or lasso tool to work in O...
Step 4—Burgers’ equation, with a saw-tooth IC and periodic BCs (with an introduction to Sympy). Array Operations with NumPy Step 5—Linear convection in 2D with a square-function IC and appropriate BCs. Step 6—With the same IC/BCs,nonlinearconvection in 2D. ...
In this article, we developed a new higher-order implicit finite difference iterative scheme (FDIS) for the solution of the two dimension (2-D) time fractional Cable equation (FCE). In the new proposed FDIS, the time fractional and space derivatives are