Results 31 to 40 of about 341 (205)
International Journal for Numerical Methods in Fluids, EarlyView.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
wiley +1 more source
Hitting Times in the Binomial Random Graph
Journal of Graph Theory, EarlyView.ABSTRACT Fix k ≥ 2 $k\ge 2$, choose log n n ( k − 1 ) ∕ k ≤ p ≤ 1 − Ω ( log 4 n n ) $\frac{\mathrm{log}n}{{n}^{(k-1)\unicode{x02215}k}}\le p\le 1-{\rm{\Omega }}(\frac{{\mathrm{log}}^{4}n}{n})$, and consider G ~ G ( n , p ) $G\unicode{x0007E}G(n,p)$. For any pair of vertices v , w ∈ V ( G ) $v,w\in V(G)$, we give a simple and precise formula for the ...
Bertille Granet +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Trigonometric integrals evaluated in terms of Riemann zeta and Dirichlet beta functions
Open MathematicsThree classes of trigonometric integrals involving an integer parameter are evaluated by the contour integration and the residue theorem. The resulting formulae are expressed in terms of Riemann zeta function and Dirichlet beta function.
Li Jing, Chu Wenchang
doaj +1 more source
Double-Cut of Scattering Amplitudes and Stokes' Theorem
, 2009 We show how Stokes' Theorem, in the fashion of the Generalised Cauchy Formula, can be applied for computing double-cut integrals of one-loop amplitudes analytically.
Mastrolia, Pierpaolo
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The planar and radial thermal free jets for forced convection of a non‐Newtonian power‐law fluid are investigated. The thermal diffusivity is dependent on the shear‐rate and is not a constant. The flow in planar and radial thermal free jets is governed by the momentum, continuity and energy balance equations. In the stream‐function formulation,
Avnish Bhowan Magan, Rehana Naz
wiley +1 more source
Mathematical and Computational ApplicationsIn this paper we develop an approach for obtaining the solutions to systems of linear retarded and neutral delay differential equations. Our analytical approach is based on the Laplace transform, inverse Laplace transform and the Cauchy residue theorem ...
Gilbert Kerr +2 more
doaj +1 more source
Do teorema de Cauchy ao metodo de Cagniard [PDF]
, 2018 Orientador: Edmundo Capelas de OliveiraDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação CientificaResumo: Este trabalho versa sobre variaveis complexas, em particular sobre o teorema integral ...
Camargo, Rubens de Figueiredo
core
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Completeness of the Coulomb wave functions in quantum mechanics
, 1978 We give an explicit, direct, and fairly elementary proof that the radial energy eigenfunctions for the hydrogen atom in quantum mechanics, bound and scattering states included, form a complete set.
Mukunda, N., N. Mukunda
core +2 more sources