Results 1 to 10 of about 156 (35)

Efficient estimate of the remainder for the Dirichlet function η(p) for p ∈ R+ [PDF]

, 2020
For any k,n,q ∈N, where n≥ 2k+1≥ 3, and p ∈R+ the nth remainder ρ(n, p) of the Dirichlet eta function η(p), known also as the alternating Riemann zeta function, η(p) := ∞ ∑ i=1 (−1)i+1 1 ip , is given in the form ρ(n, p) = ∆q(n, p)+δq(k, p), where k and ...
V. Lampret
semanticscholar   +3 more sources

Approximations related to the complete p-elliptic integrals

Open Mathematics, 2022
In this paper, the authors present some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, by showing the monotonicity and concavity-convexity properties of certain combinations ...
Zhong Genhong, Ma Xiaoyan, Wang Fei
doaj   +1 more source

New handy and accurate approximation for the Gaussian integrals with applications to science and engineering

Open Mathematics, 2019
In this work, we propose to approximate the Gaussian integral, the error function and the cumulative distribution function by using the power series extender method (PSEM).
Sandoval-Hernandez Mario A., Vazquez-Leal Hector, Filobello-Nino Uriel, Hernandez-Martinez Luis   +3 more
doaj   +1 more source

The agreement between novel exact and numerical solutions of nonlinear models

Partial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj  

On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering

Alexandria Engineering Journal, 2020
In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park, Mostafa M.A. Khater, Abdel-Haleem Abdel-Aty, Raghda A.M. Attia, Dianchen Lu   +4 more
doaj  

A novel numerical approach to solutions of fractional Bagley-Torvik equation fitted with a fractional integral boundary condition

Demonstratio Mathematica
In this work, we present a sophisticated operating algorithm, the reproducing kernel Hilbert space method, to investigate the approximate numerical solutions for a specific class of fractional Begley-Torvik equations (FBTE) equipped with fractional ...
Aljazzazi Mazin, Maayah Banan, Djeddi Nadir, Al-Smadi Mohammed, Momani Shaher   +4 more
doaj   +1 more source

A mathematical model for simulating the spread of a disease through a country divided into geographical regions with different population densities. [PDF]

J Math Biol, 2022
Harris PJ, Bodmann BEJ.
europepmc   +1 more source

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
doaj  

Study of the parametric effect of the wave profiles of the time-space fractional soliton neuron model equation arising in the topic of neuroscience

Partial Differential Equations in Applied Mathematics
Time-space fractional nonlinear problems (T-SFNLPs) play a crucial role in the study of nonlinear wave propagation. Time-space nonlinearity is prevalent across various fields of applied science, nonlinear dynamics, mathematical physics, and engineering ...
Md. Nur Alam, Md. Azizur Rahman
doaj  

Effect of relevant factors on radiation-induced nasopharyngeal ulcer in patients with primary nasopharyngeal carcinoma treated with intensity-modulated radiation therapy. [PDF]

Laryngoscope Investig Otolaryngol, 2020
Fei Z, Chen T, Qiu X, Chen C.
europepmc   +1 more source