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...
Backward Euler is used for time integration of the lithium transport equation. 5.1 Linear patch test for coupled static electro-chemo-mechanical fields The linear patch test here refers to the verification of a numerical method’s ability to obtain a linear solution exactly if the exact solution ...
Euler approximation method, discrete predator-prey model, stability, center manifold theorem Citation: Yangyang Li, Fengxue Zhang, Xianglai Zhuo. Flip bifurcation of a discrete predator-prey model with modified Leslie-Gower and Holling-type III schemes[J]. Mathematical Biosciences and Engineering...
(1) and satisfy the Hamilton–Jacobi equations written equivalently as dxi ∂H dτ = ∂ pi and d pi dτ ∂H = −∂xi , or as Euler–Lagrange equations, d dτ ∂L ∂yi − ∂L ∂xi = 0, which, in their turn, are equivalent to the nonlinear geodesic (semi-spray...
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.De...
The Euler-Lagrange equation following from (2.1) becomes ∂ i ψ(x, ∂t t) + ∂2 ∂x2 ψ(x, t) − ∂V [|ψ(x, t)|2] ∂|ψ(x, t)|2 ψ(x, t) = 0. (2.2) The model (2.2) defines the deformed NLS model and it supports dark soliton type solu- tions in ...
and threshold resummation factor[17], respectively. Formally, thedecay amplitude can be expressed by the convolution (1) The Wilson coefficientC(t) at the energy scalet, derived from the renormalization group method, contains the contributions from heavy particles. The hard kernelH, which can be...
We have got computation formula of the Poisson integral by quasi-wavelet method and given a numerical example at last,the numerical test has shown that the algorithm of our Poisson integral is good. 用拟小波方法给出Poisson积分的数值计算公式,并用数值算例检验了我们的数值计算公式,实验表明该算法是...
Modified Bessel Functions, In & Kn (請預讀P713~P716,另一本無) Helmholtz eq. : [2+k2]y=0 Bessel eq. : x2y’’+xy’+[x2-n2]y=0 ---(1) Modified Helmholtz eq. : [2-k2]y=0 Modified Bessel eq. : x2y’’+xy’-[x2+n2]y=0 ---(2) Eq. (2) can be transformed...
These include the simplified Hirota’s method [1, 2], the tanh-coth method [3], the sine-cosine method [4], the simplest equation method[5], the homogeneous balance method [6], the inverse scattering transform method [7], Hirota’s bilinear method [8], the (G'/G)−expansion ...