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...
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...
In this paper, we transformed a continuous predator-prey model with modified Leslie-Gower and Hollingtype Ⅲ schemes into a discrete mode by using Euler approximation method. The existence and stability of fixed points for this discrete model were investigated. Flip bifurcation analyses of this ...
The backward (Euler) scheme (4) is the simplest and can be defined as ∂𝐶𝑛+1∂𝑡=1Δ𝑡(𝐶𝑛+1−𝐶𝑛).∂Cn+1∂t=1ΔtCn+1−Cn. (4) When we applied the scheme (4) to the presented method, it performed poorly for long time series. Therefore, we are...
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 ...
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...
In Section 4.1, the method of multiple scales is applied to linear problems, and the resulting asymptotic expansions are added to all orders in order to obtain the (natural) analytical continuation of the solution of the Euler forward difference method. This important result validates the use of...
Based on the Euler beam theory[45], the elastic modulus of substrate ESUB can be calculated from the slope of linear section in the load-displacement curve according to ESUB = S3 4Bh3SUB ∆P ∆δ , (2) where S is the span of the 3PB fixture, B is the width of specimens, h...
We used the backward Euler method to discretize and solve Equation (4), obtaining a linear relationship between future and previous estimates of the state probability, 𝒇′(𝑡+Δ𝑡)=(𝑰2−Δ𝑡𝑨)−1·(𝒇′(𝑡)+Δ𝑡𝒃),f′(t+Δt)=(I2−ΔtA)−1·(f′(t)+...
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...