Results 1 to 10 of about 169 (23)
An extension of the method of brackets. Part 1 [PDF]
Open Mathematics, 2017 The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic.
Gonzalez Ivan +3 more
doaj +4 more sources
Estimación de la similitud semántica de tareas entre procesos de negocio de telecomunicaciones
Ingeniería y Ciencia, 2012 Como una medida para mejorar la competitividad en el mercado de las telecomunicaciones, actualmente las empresas del sector crean nuevos servicios de valor agregado, con el fin de ampliar su portafolio de servicios y garantizar bien sea la permanencia de
Leandro Ordóñez Ante +2 more
doaj +2 more sources
A Wilf–Zeilberger–Based Solution to the Basel Problem With Applications
Discrete Mathematics Letters, 2022 Wilf [Accelerated series for universal constants, by the WZ method, Discrete Math. Theor. Comput. Sci. 3 (1999) 189–192] applied Zeilberger’s algorithm to obtain an accelerated version of the famous series (cid:80) ∞ k =1 1 /k 2 = π 2 / 6 .
J. M. Campbell
semanticscholar +1 more source
A Fast Approach to Creative Telescoping [PDF]
, 2010 In this note we reinvestigate the task of computing creative telescoping relations in differential-difference operator algebras. Our approach is based on an ansatz that explicitly includes the denominators of the delta parts.
Koutschan, Christoph
core +2 more sources
Journal of Ocean Engineering and Science, 2022 This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
doaj
Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation [PDF]
, 2014 We propose a new method to compute the unipotent radical $R_u(H)$ of the differential Galois group $H$ associated to a parameterized second-order homogeneous linear differential equation of the form \[\tfrac{\partial^2}{\partial x^2}Y-qY=0,\] where $q ...
Arreche, Carlos E.
core +1 more source
New conservation laws and exact solutions of the special case of the fifth-order KdV equation
Journal of Ocean Engineering and Science, 2022 The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut +2 more
doaj
Journal of Ocean Engineering and Science, 2022 The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj
Journal of Ocean Engineering and Science, 2022 The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar +2 more
doaj
A genus six cyclic tetragonal reduction of the Benney equations [PDF]
, 2009 A reduction of Benney’s equations is constructed corresponding to Schwartz–Christoffel maps associated with a family of genus six cyclic tetragonal curves.
England, M., Gibbons, J.
core +2 more sources