Results 11 to 20 of about 148 (34)

Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation

, 2015
We introduce an accurate and efficient method for a class of nonlocal potential evaluations with free boundary condition, including the 3D/2D Coulomb, 2D Poisson and 3D dipolar potentials.
Exl, Lukas, Mauser, Norbert J., Zhang, Yong   +2 more
core   +2 more sources

Some new series for $1/\pi$ and related congruences [PDF]

, 2016
In this paper we prove some new series for $1/\pi$ as well as related congruences. We also raise several new kinds of series for $1/\pi$ and present some related conjectural congruences involving representations of primes by binary quadratic forms ...
Sun, Zhi-Wei
core  

Numerical evaluation of two and three parameter Mittag-Leffler functions

, 2015
The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very few methods are available for its numerical evaluation. In this work we present a method for the efficient computation of the ML function based on the numerical ...
Garrappa, Roberto
core   +2 more sources

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   +1 more source

An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

, 2007
This paper sketches a technique for improving the rate of convergence of a general oscillatory sequence, and then applies this series acceleration algorithm to the polylogarithm and the Hurwitz zeta function.
A. Jonquière, C. Brezinski, E.A. Karatsuba, E.J. Weniger, E.P. Balanzario, G. Soff, H. Cohen, H. Hasse, Linas Vepštas, R. Šleževičiene, T.M. Apostol   +10 more
core   +5 more sources

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

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   +1 more source

Numerical stability of branched continued fraction expansions of Lauricella–Saran’s hypergeometric function F K ratios

Demonstratio Mathematica
The paper considers the numerical stability of the backward recurrence algorithm for computing approximants of branched continued fraction expansions for the Lauricella–Saran’s hypergeometric function F K ratios.
Dmytryshyn Roman, Goran Vitaliy
doaj   +1 more source

Investigating traveling wave structures in the van der Waals normal form for fluidized granular matter through the modified S-expansion method

Partial Differential Equations in Applied Mathematics
This research discovers traveling wave solutions (TWSs) of the van der Waals normal form for fluidized granular matter using the modified S-expansion (MS-E) method.
Hamida Parvin, Md. Nur Alam, Md. Abdullah Bin Masud, Md. Jakir Hossen   +3 more
doaj   +1 more source

Algorithms for Evaluation of the Wright Function for the Real Arguments’ Values [PDF]

, 2008
2000 Math. Subject Classification: 33E12, 65D20, 33F05, 30E15The paper deals with analysis of several techniques and methods for the numerical evaluation of the Wright function.
Luchko, Yury
core