Archive:: American Journal of Applied Mathematics:: Science Publishing Group

Volume 4, Issue 4, August 2016

Application of Partial Differential Equations to Drum Head Vibration, Signal Transmission and Chemical Communication in Insects

Constance Atieno Ojwando

Issue: Volume 4, Issue 4, August 2016

Pages: 169-174

Received: 10 May 2016

Accepted: 28 May 2016

Published: 17 June 2016

DOI: 10.11648/j.ajam.20160404.11

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Abstract: The application of partial differential equations to drumhead vibration, signal transmission and chemical communication in insects has been investigated. This study looked at three cases in communication namely: a single drumbeat on an idealized circular drumhead being struck at the centre of the circular membrane; signal transmission in a Coaxial ... Show More

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New Predictor-Corrector Iterative Methods with Twelfth-Order Convergence for Solving Nonlinear Equations

Noori Yasir Abdul-Hassan

Issue: Volume 4, Issue 4, August 2016

Pages: 175-180

Received: 16 May 2016

Accepted: 31 May 2016

Published: 17 June 2016

DOI: 10.11648/j.ajam.20160404.12

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Abstract: In this paper, we propose and analyze new two efficient iterative methods for finding the simple roots of nonlinear equations. These methods based on a Jarratt's method, Householder's method and Chun&Kim's method by using a predictor-corrector technique. The error equations are given theoretically to show that the proposed methods have twelfth-orde... Show More

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Efficient Pricing of European Options with Stochastic Interest Rate Using Fourier Transform Method

Michael Chimezie Anyanwu, Roseline Ngozi Okereke

Issue: Volume 4, Issue 4, August 2016

Pages: 181-185

Received: 6 May 2016

Accepted: 20 May 2016

Published: 13 July 2016

DOI: 10.11648/j.ajam.20160404.13

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Abstract: The inclusion of stochastic interest rate is an essential element of any realistic option pricing method. Therefore, the purpose of this paper is to incorporate interest rates in the Fourier transform method for pricing European options in exponential Levy models. With the assumption of stochastic independence between the underlying log asset price... Show More

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Solutions of Ordinary Differential System by Using Symmetry Group

Sameer Qasim Hasan, Wissam Salman Abd

Issue: Volume 4, Issue 4, August 2016

Pages: 186-191

Received: 19 June 2016

Accepted: 28 June 2016

Published: 28 July 2016

DOI: 10.11648/j.ajam.20160404.14

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Abstract: In this paper the idea is to use a coordinate transformation that takes a system of ordinary differential equations with no obvious solution to system of integrables. The techniques that which introduced presented the cases of symmetry transformations also the particular case that involving an integrating factory homogeneous coordinates all these t... Show More

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The Time Window Model and Shortest Path Model Design for Travel All 5A Scenic Spot in China

Yawei Li, Yandong Li, Xiaorong Li

Issue: Volume 4, Issue 4, August 2016

Pages: 192-196

Received: 28 June 2016

Accepted: 8 July 2016

Published: 2 August 2016

DOI: 10.11648/j.ajam.20160404.15

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Abstract: Travel has became one of the most popular ways of modern lifestyle. This paper mainly discusses the route planning of travel all 5A scenic spots in the China. Firstly, We establish a mathematical model and transform the limited conditions include the scenic tour time, driving time, accommodation and other aspects to the mathematical formulas. Then,... Show More

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