*Correspondence: [email protected] 2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia 3Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt Full list of author information is available at the end of the article Abstract In this article, an accurate and efficient numerical method is presented for solving the space-...

‎‎in this article‎, ‎a new method is introduced to give approximate solution to van der pol equation‎. ‎the proposed method is based on the combination of two different methods‎, ‎the spectral adomian decomposition method (sadm) and piecewise method‎, ‎called the piecewise adomian decomposition method (psadm)‎. ‎the numerical results obtained from the proposed method show that this method is an...

We provide a simple interpretation of non-Gaussian nature of the light scattering-intensity fluctuations from an aging colloidal suspension of Laponite using the multiplicative cascade model, Markovian method, and volatility correlations. The cascade model and Markovian method enable us to reproduce most of recent empirical findings: long-range volatility correlations and non-Gaussian statistic...

In this paper, a method based on the Tau method with arbitrary bases is developed to find the numerical solution of Fredholm integro-differential equations; the differential part appearing in the equation is replaced by its operational Tau representation. Some numerical results are given to demonstrate the superior performance of the Tau method, particularly, with the Chebyshev and Legendre bas...

In this article, we prove that we can introduce a small ~ parameter in the six Painlevé equations through their corresponding Lax pairs and Hamiltonian formulations. Moreover, we prove that these ~-deformed Lax pairs satisfy the Topological Type property proposed by Bergère, Borot and Eynard for any generic choice of the monodromy parameters. Consequently we show that one can reconstruct the fo...

Within the resonance chiral theory (RχT), we have studied the process of a tau lepton decaying into a vector resonance plus a pseudo-Goldstone meson and a tau neutrino. Two kinds of processes are discussed: (a) τ− → (ρπ, ωπ−, φπ,KK)ντ , belonging to ∆S = 0 processes and (b) ∆S = 1 processes, such as τ− → (ρK, ωK−, φK−,K ∗0 π−)ντ . To fit the τ − → ωπ−ντ spectral function and the decay distribut...

This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups. Let $H$ and $K$ be locally compact groups and $tau:Hto Aut(K)$ be a continuous homomorphism.  Let $G_tau=Hltimes_tau K$ be the semi-direct product of $H$ and $K$ with respect to $tau$. We define left and right $tau$-c...