Sentence examples for solutions of time from inspiring English sources

B-spline collocation methods were proposed for the solutions of time fractional diffusion problems by Esen et al. [19, 20].

Jianfei et al. [21] presented two efficient finite difference schemes to approximate solutions of time fractional diffusion equations.

In this section we discuss existence and uniqueness of mild solutions of time fractional diffusion equations as an application of main results.

Finally, the Stehfest numerical inverse Laplace transform (NILT) is implemented to retrieve the numerical solutions of time fractional diffusion equations from the corresponding BPM solutions.

In [8] the authors gave a new definition of the Caputo fractional derivative on a bounded interval in the fractional Sobolev space and proved the maximal regularity of solutions of time fractional diffusion equations.

The main result of this paper is to show that this threshold version of the problem can be solved by recursively solving 3+2logθ instances of the traditional (i.e., zero-threshold) version of the problem, which is much-studied in the literature and for which there are many efficient (typically randomized) solutions of time complexity close to O(NlogM).

In fact, such structures are omnipresent in solutions of time-optimal control problems.

The Chebyshev wavelet method was improved in [24] to obtain numerical solutions of time-varying delay systems.

Recently, the asymptotic behavior of solutions of time-delayed Burgers equation was studied by Liu in [13].

Numerical results are also presented which show the effect of filtering on Chebyshev pseudospectral solutions of time-dependent equations.

The solutions of time-dependent viscous-diffusion fluid mechanics problems are determined by the Laplace, Fourier and Mellin transforms methods of fractional operators.