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  1. Vor 2 Tagen · In this paper, we studied and analysed a new iterative method for solving time-fractional non-linear equations by obtaining approximate solutions to the Allen-Cahn, Newell-Whitehead, and Fisher equations by putting the parameter \alpha = 1 and varying the values of \gamma, \phi, and \tau. These three equations were derived from the general non-linear dynamical wave equations when the constants ...

  2. Vor 5 Tagen · Scond-order linear differential equations are used to model many situations in physics and engineering. Here, we look at how this works for systems of an object with mass attached to a vertical …

  3. Vor einem Tag · In this paper, we establish a Freidlin-Wentzell type large deviation principle uniformly with respect to initial condition in bounded subsets, that do not necessarily belongs to compact sets, of an infinite dimensional Banach space for stochastic 1D generalized Burgers-Huxley equation driven by multiplicative small noise. The proof is based on the weak convergence approach obtained by ...

  4. Vor 4 Tagen · This is because Binet's formula, which can be written as = (()) /, can be multiplied by and solved as a quadratic equation in via the quadratic formula: φ n = F n 5 ± 5 F n 2 + 4 ( − 1 ) n 2 . {\displaystyle \varphi ^{n}={\frac {F_{n}{\sqrt {5}}\pm {\sqrt {5{F_{n}}^{2}+4(-1)^{n}}}}{2}}.}

  5. Vor 5 Tagen · Home Other Titles in Applied Mathematics Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations Description Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations.

  6. Vor 5 Tagen · Key Results In this prospective study, participants with moderate traumatic brain injury (n = 38) who received low-level light therapy (LLLT) (n = 17) showed a greater change in resting-state connectivity in seven brain region pairs during the acute to subacute recovery phases than sham-treated participants (n = 21) (range of differences in Fisher z-transformed correlation coefficients ...

  7. Vor 5 Tagen · In chemistry, the rate equation (also known as the rate law or empirical differential rate equation) is an empirical differential mathematical expression for the reaction rate of a given reaction in terms of concentrations of chemical species and constant parameters (normally rate coefficients and partial orders of reaction) only. [1] .