The corresponding Euler-Lagrange's equation
and energy - momentum tensors are found on the basis of the covariant Noether's identities.
4 had low average deviation, high accuracy and precision, with the greater error proportion of the model focusing on RE, which in turn demonstrated a well-controlled model.
In another methodology, the cubic B-spline was applied for obtaining numerical results of SRLWE after discretizing the equation
reported by (Mittal and Tripathi, 2015).
Please note," she remarks, "that this equation
is both numerically correct--as confirmed by our checker--and end-to-end palindromical.
Section 2 presents the governing equations
of one-dimensional nonlocal nonlinear elasticity theory and gives the equation
of motion in dimensionless quantities for two distinct forms of the kernel function.
Satsuma: Soliton solution of a coupled KdV equation
While this claim is true, it needs to be noted that the zero in this equation
is a square null matrix rather than a scalar.
They often wonder why they have to check their answer in the original equation
, especially when they square both sides of an equation
The study found a high prevalence of mild renal dysfunction (stage 2 chronic kidney disease) in 54%-59% of women, depending on the equation
Let u(x, t) = U([xi]), [xi] = x - Vt be its travelling wave solutions, where the wave velocity V is a coefficient to be determined later, then equation
(2) can be simplified to a nonlinear ODE
An Introduction To Partial Differential Equations
With MATLAB, second edition
Using this notation and taking into account that in the surrounding spacetime of the material particle there is an electric current j, as given by equation
(242), the energy-momentum tensor [19-21] of the electromagnetic field is given by the tensor