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Analytic solution of a nonlinear black-scholes partial differential equation
(Academic Publications, 5/10/2010)
We study a nonlinear Black-Scholes partial differential equation whose nonlinearity is as a result of a feedback effect. This is an illiquid market effect arising from transaction costs. An analytic solution to the nonlinear ...
Teachers` gender and primary school pupils` achievement in mathematics in Kenya
(Journal of Education and Practice, 2013)
This descriptive causal comparative study examined the relationship between teacher’s gender and in primary schools pupils’ performance in mathematics in Kenya. The study objective was to investigate the effect of teachers’ ...
Operators with slowly growing resolvents towards the spectrum
(Academic Publications, 1/13/2009)
A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies
(z −H)−1
≤ c hziα |=z|β ∀ z 6∈ R (0.1) for some α , β ≥ 0; c > 0, is said to be of (α, β)−type R . If instead of (0.1) ...
Extraction of zero coupon yield curve for Nairobi securities exchange: finding the best parametric model for East African securities markets
(Science Signpost Publishing, 2015)
We seek to construct a zero coupon yield curve (ZCYC) for Nairobi Securities Exchange (NSE). The objective of this paper is to construct a ZCYC that is differentiable at all points and at the same time, produces continuous ...
On the structures of quotient groups
(Academic Publications, 5/22/2009)
Let J be the Jacobson radical of a commutative completely primary
finite ring R such that J
k 6= (0) and J
k+1 = (0). Then R/J ∼= GF(p
r
), the
finite field of p
r
elements, and the characteristic of R is p
k where k ≥ 2 ...
Modeling co-infection of paediatric Malaria and Pneumonia
(Int. Journal of Math. Analysis, 2013)
Malaria and persistent childhood diseases are a major threat to child survival in the developing world. In this paper, we develop and analyse a mathematical model for paediatric malaria and pneumonia co-infection. We ...
Modeling of liver cancer risk factors and dynamics at community level
(Hikari, 2017)
Hepatocellular carcinoma (HCC) is a malignant cancer of the liver arising from uncontrolled multiplication of the abnormal liver cells. It is an ignored public health condition where patients come late to the hospital at ...
Symmetry group approach to the solution of generalized burgers equation: Ut + UUx = λUxx
(2013)
Symmetry of a system of differential equations is a transformation
that maps any solution to another solution of the system. In Lie’s
framework such transformations are groups that depend on continuous
parameters and ...
Attitudes of students and teachers towards use of computer technology in Geography education
(2010)
The ability to display simulated environments through the computer may make it a stimulating instructional tool for illuminating abstract concepts in Geography. In Kenya, there is persistent lack of resources to improve ...
Numerical solution of dynamic vibration equations
(International Journal of mathematical Archive, 2011-09)
In this paper, we examine conservative autonomous dynamic vibration equation, , which is time vibration of the displacement of a structure due to the internal forces, with no damping or external ...