A Class of One-Sixth Hybrid Methods for Direct Solution of Third Order Ordinary Differential Equations
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368-381
Digital Object Identifier:
10.58578/mjms.v3i2.5368
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Authors:
Oluwasayo Esther Taiwo1*, Muideen O. Ogunniran2 
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Abstract
In this paper, a class of Hybrid methods for solving third order ordinary differential equations directly is developed. These methods were derived using interpolation and collocation techniques. The methods were analyzed based on the properties of linear multistep methods and were found to be zero-stable, consistent and convergent with good region of absolute stability. The proposed methods were implemented on higher order ordinary differential initial value problems. The superirity of the proposed methods over existing ones was demonstrated through some numerical examples.
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References
Abidin, S., & Jaffar, M., (2014) Forecasting share prices of small size companies in Bursa Malaysia using Geometric Brownian Motion, Applied Mathematics & Information Sciences, 8(1), pp. 107-112.
Abraham, A., Seyyed, F. J. &Alsakran. S. A., (2002). Testing the Random Walk Behavior and Efficiency of the Gulf Stock Markets, The Financial Review, 37, Pp469-480 (2002).
Adolphus, J. T., Samuel A. A.(2021). Application of Geometric Brownian Motion Model. Department of Banking and Finance, Faculty of Management Sciences, Rivers State University.
Adeosun, E.M., Ugbebor, O.O(2021) An Empirical Assessment of Symmetric and Asymmetric Jump-Diffusion Models for the Nigerian Stock Market Indices, Scientific African (2021), doi:https://doi.org/10.1016/j.sciaf.2021.e00733
Bachelier, L. (1964) The Random Character of Stock Market Prices: M.I.T. Press.
Borges, M. R.,(2011) Random Walk tests for the Lisbon stock market, Applied Economics, 43, Pp 631-639
Brewer, K.D., Feng, Y., & Kwan, C.C.Y.(2012) Geometric Brownian Motion, Option Pricing and Simulation: Some spreadsheet-based exercises in financial modelling, Spreadsheets in Education (eJSiE), 5(3), Article 4, http://epublications.bond.edu.au /ejsie/vol5/iss3/4.
Fama, F. E. (1995). Random walks in stock market prices. Financial Analysts Journal, 51(1), 75-80. http://dx.doi.org/10.2469/faj.v51.n1.1861
Hanke, J. E., &Reitsch, A. G., (1995) Business Forecasting, Englewood Cliffs, NJ: Prentice-Hall, 5th edition, ISBN 0205160050.
Imoni, O. S., Muhammad, S. &Sulaiman,N. (2020). On the Application of Geometric Brownian Motion Model to Stock Price Process on the Nigerian Stock Market. Department of Mathematical Sciences, Federal University Lokoja P.M.B. 1154, Lokoja, Kogi State, Nigeria.
Islam. M. R, Nguyet, N. (2021). Comparison of Financial Models for Stock Price Prediction. Department of Mathematics and Statistics, Youngstown State University, Youngstown, OH 44555, USA; [email protected]. DOI: 10.33094/8.2017.2021.91.1.7
Rahul, K., Bidyadhara, B. (2020). Forecasting Short Term Return Distribution of S&P BSE Stock Index Using Geometric Brownian Motion: An Evidence from Bombay Stock Exchange. Research Scholar, P.G. Department of Statistics, Sambalpur University, Jyoti Vihar, Burla, Sambalpur, Odisha-768019, India,
Reddy, K., & Clinton, V.(2016) Simulating Stock Prices Using Geometric Brownian Motion: Evidence from Australian Companies, Australasian Accounting, Business and Finance Journal, 10(3), 2016, 23-47. Available at:http://ro.uow.edu.au/aabfj/vol10/iss3/
Rossano, G. (2006). Martingale Model. Online at https://mpra.ub.uni-muenchen.de/21973/MPRA Paper No. 21973. Posted 12 April 2010 02: 03UTC Retrieved Aug. 7th 2021 from https://mpra.ub.uni-muenchen.de/21973MPRA
Samuelson, P. (1965). Rational theory of warrant pricing, Industrial Management Review, 6(2):13-39.