Journal of Engineering and Applied Sciences

Year: 2015
Volume: 10
Issue: 7
Page No. 174 - 180

Adopting a Variable Step Size Approach in Implementing Implicit Block Multi-Step Method for Non-Stiff Ordinary Differential Equations

Authors : Jimevwo G. Oghonyon, Solomon A. Okunuga, Nicholas A. Omoregbe and Olasunmbo O. Agboola

References

Adesanya, A.O., D.M. Udoh and A.M. Ajileye, 2013. A new hybrid block method for the solution of general third order initial value problems of ordinary differential equations. Int. J. Pure Applied Math., 86: 365-375.
Direct Link  |  

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

Anake, T.A., A.O. Adesanya, G.J. Oghonyon and M.C. Agarana, 2013. Block algorithm for general third order ODEs. Icastor J. Math. Sci., 7: 127-136.

Awoyemi, D.O., 2003. A P-stable linear multistep method for solving general third order ordinary differential equations. Int. J. Comput. Math., 8: 985-991.
CrossRef  |  

Awoyemi, D.O., S.J. Kayode and L.O. Adoghe, 2014. A five-step p-stable method for the numerical integration of third order ordinary differential equations. Am. J. Comput. Math., 4: 119-126.
CrossRef  |  Direct Link  |  

Cash, J.R. and S. Semnani, 1993. A new approach to solving nonstiff initial-value problems. J. Comput. Applied Math., 45: 41-46.
CrossRef  |  Direct Link  |  

Ehigie, J.O., S.A. Okunuga and A.B. Sofoluwe, 2011. 3-point block methods for direct integration of general second-order ordinary differential equations. Adv. Numer. Anal. 10.1155/2011/513148

Fatunla, S.O, 1991. Block methods for second order. Int. J. Comput. Math., 41: 55-63.
CrossRef  |  Direct Link  |  

Lambert, J.D., 1977. Computational Methods in Ordinary Differential Equations. John Wiley and Sons Inc., New York.

Majid, Z.A. and M.B. Suleiman, 2007. Implementation of four-point fully implicit block method for solving ordinary differential equations. Applied Math. Comput., 184: 514-522.
CrossRef  |  Direct Link  |  

Mechee, M., N. Senu, F. Ismail, B. Nikouravan and Z. Siri, 2013. A three-stage fifth-order runge-kutta method for directly solving special third-order differential equation with application to thin film flow problem. Math. Problems Eng., 10.1155/2013/795397

Mehrkanoon, S., 2011. A direct variable step block multistep method for solving general third-order ODEs. Numer. Algor., 57: 53-66.
CrossRef  |  Direct Link  |  

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

Olabode, B.T. and Y. Yusuph, 2009. A new block method for special third order ordinary differential equations. J. Math. Statist., 5: 167-170.
CrossRef  |  Direct Link  |  

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

You, X. and Z. Chen, 2013. Direct integrators of Runge-Kutta type for special third-order ordinary differential equations. Appl. Numer. Math., 74: 128-150.
CrossRef  |  Direct Link  |  

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