International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 12 No. 3or Keyword in Title:
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Table of Content for Vol. 12 No. 3, 2014

Analytical Solution of Nonlinear Equation in NAPP Synthesis
V. Meena, L. Rajendran
      
 PP. 126 - 138
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ABSTRACT: The time dependent analytical expression for the concentrations of Hydroxylamine - O – Sulfonique acid (HOSA), Piperidine, N- aminopiperdine (NAPP), Sodium hydroxide (NaOH) and Diazene are presented by solving systems of non-linear differential equations. We employ the analytical method to solve the non-linear differential equations containing a non-linear term related to basic kinetic reaction. Closed and simple analytical expressions of concentrations have been derived in terms of parameters k1 and k2. The numerical solution of the problem is also reported using the Matlab program. Our analytical results are compared with our simulation and available experimental results. A good agreement is noted between analytical and experimental results.


On Hyperbolic Sine Function in Height-diameter Modeling of Gmelina Arborea
Oyamakin S. Oluwafemi. & Chukwu Angela U.
      
 PP. 139 - 156
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ABSTRACT: Measuring the height of a tree takes longer than measuring its diameter at breast height and often, only the heights of a subset of trees of known diameter are measured in the forest inventories. Since trees with the same diameter are not usually of the same height, even within the same stand. We proposed two hyperbolic height diameter models (HEHDM & HMMHDM) with a stochastic component added to the deterministic height diameter models. This approach mimics the natural variability of heights and therefore provides a more realistic height prediction, as demonstrated by the results of the Kolmogorov Smirnov test and Shapiro-Wilk test. The mean function of top height over the Dbh using the least squares parameter estimates predicted closely the observed values of top height in all the HD-models with better prediction from the proposed HD models and in general, all the HD-models considered predicted reasonable estimate over the entire range of DBH.


New Sequence Spaces Defined by Ideal Convergence and a Sequence of Modulus Functions on Multiple Normed Space
Tanweer Jalal
      
 PP. 157 - 164
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ABSTRACT: The object of this paper is to introduce a new class of ideal convergent (briefly I-convergent) sequence spaces using a sequence of modulus functions and difference operator defined on n-normed spaces. We study these spaces for some linear topological structures and algebraic properties.


Coupled Fixed Point Theorems for Rational Contractions in Partially Ordered Metric Spaces
Virendra Singh Chouhan, Richa Sharma
      
 PP. 165 - 174
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ABSTRACT: In this paper, we prove some unique coupled fixed point theorems satisfying certain rational contractive condition in a partially ordered metric space. Also for support of our results we are giving some examples.