Apr 10, 2019Open AccessArticle
Ordinary differential equations (ODEs) are among the most important mathe-matical tools used in producing models in the physical sciences, biosciences, chemical sciences, engineering and many more fields. This has motivated re-searchers to provide efficient numerical methods for solving such equations. Most of these types of differential models are stiff, and suitable numerical methods have to be used to simulate the solutions. Th
Oct 30, 2018Open AccessArticle
This work investigated a reinsurer’s optimal investment strategy and the pro-portion he accepted for reinsurance under proportional reinsurance and expo-nential utility preference in the cases where the Brownian motions were corre-lated and where they did not correlate. The reinsurer invested in a market in which the price process of the risky asset is governed by constant elasticity of variance (CEV) model. The required Hamilton-
Jun 26, 2018Open AccessArticle
On the whole real axis, we
demonstrate sufficient conditions of regular solvability of third order
operator-differential equations with complicated characteristics. These
conditions were formulated only by the operator coefficients of the equation.
In addition, by the principal part of the equation, the norms of the operators
of intermediate derivative were estimated.
Dec 19, 2017Open AccessArticle
In this paper, a class of operator-differential
equation of the first order with multiple characteristics is considered, for
which the initial boundary value problem on the semi-axis is well-posed and
uniquely solvable in the Sobolev space.
May 03, 2017Open AccessArticle
Improvements in sanitation and the provision of
clean drinking water led to the elimination of typhoid fever from developed
countries in the beginning of the 20th century. However, Salmonella typhi and paratyphi remain a major source of morbidity and mortality in many
developing countries toda
Nov 02, 2016Open AccessArticle
The scheme of creation of systems of the
integro-differential equations for evaluation of Green’s function in
non-uniform elastic boundless medium is described. The summand with singularity
is allocated. The isotropic medium with constant coefficient of Poisson and unidimensional
inhomogeneous isotropic medium are considered.
Aug 19, 2016Open AccessArticle
In this present paper, we proposed and formulated a quantitative approach
to parametric identifiability of dual HIV-parasitoid-pathogen infectivity in a
novel 5-dimensional algebraic identifiability HIV dynamic model, as against
popular 3-dimensional HIV/AIDS models. In this study, ordinary differential
equations were explored with analysis conducted via two improved developed
techniques—the method of higher-order derivatives (MHO
Jun 23, 2016Open AccessArticle
In this article, my focus is the derivation, analysis and implementation
of a new modified one-step implicit hybrid block method with five off-step
points. The derived method is to solve directly initial value problems of
fourth order ordinary differential equations. The approach for the derivation of
the method is to interpolate the approximate power series solution to the
problem and to coll
Apr 22, 2016Open AccessArticle
Multiplicity of new cases of HIV/AIDS and its allied infectious diseases
daunted by lack of proper parametric estimation necessitated this present work.
Formulated using ordinary differential equation was a five-dimensional (5D)
differential mathematical model with which compatibility of optimal control
strategy for dual (viral load and parasitoid-pathogen) infectivity in the blood
plasma was investigated. Discretization method indicated the incompatibility of
the model due to large error deriva...
Apr 18, 2016Open AccessArticle
A symmetric hybrid linear multistep method for direct solution of general
third order ordinary differential equations is considered in this paper. The
method is developed by interpolation and collocation approach using a
combination of power series and exponential function as basis function. The
consistency, stability, order and error constant of the method were determined.
The results showed that the method is consistent, zero stable and of order five
with low error constant. The accuracy compa...