Research Journal of Applied Sciences

Year: 2017
Volume: 12
Issue: 1
Page No. 7 - 13

Designing a Variable Step Size For the Successful Implementation of P(EC)m and P(EC)mE Mode

Authors : Jimevwo Godwin Oghonyon, Oluwole Odetunmibi and Abiodun Opanuga

References

Akinfenwa, O.A., S.N. Jator and N.M. Yao, 2013. Continuous block backward differentiation formula for solving stiff ordinary differential equations. Comput. Math. Appl., 65: 996-1005.
CrossRef  |  Direct Link  |  

Dormand, J.R., 1996. Numerical Methods for Differential Equations: A Computational Approach. CRC Press, Boca Raton, FL., ISBN-13: 9780849394331, Pages: 384.

Faires, J.D. and R.L. Burden, 2012. Initial-value problems for ODEs, variable step-size multistep methods. Dublin City University, Dublin, Republic of Ireland, pp: 2-32.

Gear, C.W., 1971. Numerical Value Problems in ODEs. Prentice-Hall, New Jersey, USA.,.

Ibrahim, Z.B., A. Othman and M. Suleiman, 2007. Variable step block backward differentiation formula for solving first order stiff ODEs. Proceedings of the World Congress on Engineering, July 2-4, 2007, London, UK., ISBN: 978-988-98671-2-6, pp: 2-6.

Jain, M.K., S.R.K. Iyengar and R.K. Jain, 2007. Numerical Methods for Scientific and Engineering Computation. 5th Edn., New Age International (Pvt.) Ltd., New Delhi, India, ISBN-13: 978-8122420012, Pages: 816.

Lambert, J.D., 1973. Computational Methods in Ordinary Differential Equations. John Wiley and Sons, New York, USA., ISBN-13: 9780471511946, Pages: 278.

Lambert, J.D., 1991. Numerical Methods for Ordinary Differential Systems: The Initial Value Problem. 1st Edn., John Wiley and Sons, New York, USA., ISBN-13: 978-0471929901, Pages: 304.

Mehrkanoon, S., Z.A. Majid and M. Suleiman, 2010. A variable step implicit block multistep method for solving first-order ODEs. J. Comput. Appl. Math., 233: 2387-2394.
CrossRef  |  Direct Link  |  

Oghonyon, G.J., S.A. Okunuga and S. Bishop, 2015. A 5-step block predictor and 4-step corrector methods for solving general second order ordinary differential equations. Global J. Pure Appl. Math., 11: 3847-3862.
Direct Link  |  

Oghonyon, G.J., S.A. Okunuga, N.A. Omoregbe and O.O. Agboola, 2015. Adopting a variable step size approach in implementing implicit block multi-step method for non-stiff ordinary differential equations. J. Eng. Appl. Sci., 10: 174-180.
CrossRef  |  Direct Link  |  

Quarteroni, A., R. Sacco and F. Saleri, 2000. Numerical Mathematics. 1st Edn., Springer, USA.

Uri, M.A. and R.P. Linda, 1998. Computer Methods for ODEs-Differential Algebraic Equations. SIAM, Philadelphia, USA.,.

Xie, L. and H. Tian, 2014. Continuous parallel block methods and their applications. Appl. Math. Comput., 241: 356-370.
CrossRef  |  Direct Link  |  

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