Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Aeeman Fatima"'
Publikováno v:
Results in Physics, Vol 6, Iss , Pp 549-550 (2016)
An analytical approach based on the compatibility concept is employed to solve a nonlinear reaction–diffusion model arising in mathematical biology. The solution process makes it extremely easy to obtain a relatively accurate closed-form solution o
Externí odkaz:
https://doaj.org/article/3b55ccd3d2264de587676b9cb66936e1
Publikováno v:
Open Physics, Vol 16, Iss 1, Pp 766-779 (2018)
Open Physics, Vol 17, Iss 1, Pp 808-808 (2019)
Open Physics, Vol 17, Iss 1, Pp 808-808 (2019)
The invariant approach is employed to solve the Cauchy problem for the bond-pricing partial differential equation (PDE) of mathematical finance. We first briefly review the invariant criteria for a scalar second-order parabolic PDE in two independent
Publikováno v:
Open Physics, Vol 16, Iss 1, Pp 31-36 (2018)
The optimal investment-consumption problem under the constant elasticity of variance (CEV) model is investigated from the perspective of Lie group analysis. The Lie symmetry group of the evolution partial differential equation describing the CEV mode
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 11:655-666
In this work, we take as our base scalar second-order ordinary differential equations (ODEs) which have seven equivalence classes with each class possessing three Lie point symmetries. We show how one can calculate the conditional symmetries of third
Publikováno v:
Mathematical Methods in the Applied Sciences. 40:1382-1395
Publikováno v:
Zeitschrift für Naturforschung A. 70:483-497
In this study, an incompressible time-dependent flow of a fourth-grade fluid in a porous half space is investigated. The flow is generated due to the motion of the flat rigid plate in its own plane with an impulsive velocity. The partial differential
Autor:
Aeeman Fatima, Fazal M. Mahomed
Publikováno v:
International Journal of Non-Linear Mechanics. 67:95-105
We refine the definition of conditional symmetries of ordinary differential equations and provide an algorithm to compute such symmetries. A proposition is proved which provides criteria as to when the symmetries of the root system of ODEs are inheri
Publikováno v:
Journal of Engineering Mathematics. 82:101-108
It has recently been shown that the fourth-order static Euler–Bernoulli ordinary differential equation, where the elastic modulus and the area moment of inertia are constants and the applied load is a function of the normal displacement, in the max
Publikováno v:
Mathematical Problems in Engineering, Vol 2013 (2013)
This study is based upon constructing a new class of closed-form shock wave solutions for some nonlinear problems arising in the study of a third grade fluid model. The Lie symmetry reduction technique has been employed to reduce the governing nonlin
Publikováno v:
Mathematical Problems in Engineering, Vol 2013 (2013)
The simplest equation method is employed to construct some new exact closed-form solutions of the general Prandtl's boundary layer equation for two-dimensional flow with vanishing or uniform mainstream velocity. We obtain solutions for the case when