Mar 17, 2017Open AccessArticle
An adaptive time step method was developed based on the Taylor series remainder term associated
with Euler’s method, which is utilized to solve initial value problems involving ordinary
differential equations. The accuracy and stability of the developed method was determined for
three test cases where one of the test cases was stiff. It is also show that the accuracy of the
developed method compares well with Runge Kutta 2. In future research, this method will be
applied to explicit and implicit...
Mathematical Analysis
Mathematical Logic and Foundation of Mathematics
Sep 30, 2016Open AccessArticle
The critical and correct scientific analysis of the generally accepted theory
of the external photoelectric effect is proposed. The methodological basis for
the analysis is the unity of formal logic and of rational dialectics. It is shown
that Einstein’s formulation of the law of the photoelectric effect is not free
from the following objection. The terms of Einstein’s formula characterize
the quantitative determinacy (i.e., energy) which belongs and is related to
the different material ob...
Mathematical Analysis
Quantum Mechanics
Mathematical Logic and Foundation of Mathematics
