In this paper we present numerical solution of first order impulsive fuzzy differential equation by modified Euler's method for the first time. The algorithm is discussed in detail and the result of the numerical solution is given by solving the numerical example and the graph is plotted finally.doi:10.5899/2016/jf...
There are also the Galerkin method [19], the variational iteration method [20], the multiscale method and so on [21,22]. For the governing equation of fractional-order viscoelastic Euler–Bernouli beams, most of former documents mainly focus on the discussion of solvability and give no ...
Theoretical values of each chemical component are calculated from differential equations A1-A18 using the backward Euler method. According to the required initial concentration of each component of wood in the system (given that different wood types have different ratios of each wood component) number...
while modern methods employ LiDAR, aerial imagery, and digital photography. Sun et al. [31] proposed a QR code-based DBH measurement method with two-angle sensors. Laser scanning enables 3D reconstruction for tree modeling [32,33], but single-sensor setup...
6 Numerical application In this section, we demonstrate our method by a detailed example. We give the values of approximate solutions ysN (t), (s = 1, 2) at selected points of the given interval for different N values. Example 1 ([44]) We consider the following system: ⎧ ⎨y1(t...
example, many mesh-based methods additionally require high levels of refinement to correctly model complex Li-ion battery material geometries [22,23,24]. To alleviate the aforementioned difficulties, an enhancement of the reproducing kernel particle method (RKPM) is introduced in this work for image...
Example 133 Euler’s method applied to the IVP u,(t)=−v(t)( v)(t)=u(t),(0)=1, v(0)=0 (13.11) leads to un+1=un−hvn, vn+1=vn+hun, n=0( 1) . . . ,0=1, v0=0, (13.12)and the numerical solutions with h=1/2 are displayed on the left of Figure 7.3.Derive...
The field equations corresponding to the action in Equation (1) can be obtained using the standard techniques, such as using first and second order Euler Lagrange equations. For more details in this regard, we refer the reader to [15]: 𝐺𝜇𝜈−Λ𝑔𝜇𝜈+𝑄𝜇𝜈=8𝜋𝐺𝑇...
(5) The field equations corresponding to the action in Equation (1) can be obtained using the standard techniques, such as using first and second order Euler Lagrange equations. For more details in this regard, we refer the reader to [15]: Gµν − Λgµν + Qµν = 8πGT...
currently support up to 30s) # nfe_step (larger takes more time to do more precise inference ode) # ode_method (switch to 'midpoint' for better compatibility with small nfe_step, ) # ( though 'midpoint' is 2nd-order ode solver, slower compared to 1st-order 'Euler') python test_infe...