**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31242

##### Parallel Direct Integration Variable Step Block Method for Solving Large System of Higher Order Ordinary Differential Equations

**Authors:**
Zanariah Abdul Majid,
Mohamed Suleiman

**Abstract:**

**Keywords:**
Numerical Methods,
block method,
parallel method,
higher order ODEs

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1082501

**References:**

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[2] M.B.Suleiman, Solving higher order odes directly by the direct integration method, Applied Mathematics and Computation 33, pp 197- 219., 1989.

[3] S O.Fatunla, Block methods for second order odes. Intern. J. Computer Math 40, pp 55-63, .1990.

[4] Z. Omar, M. Suleiman, Parallel two-point explicit block method for solving high-order ordinary differential equations. Int. J. of Simulation and Process Modelling. Vol. 2, No.3/4 pp. 227 - 231, 2006.

[5] Z. Omar and M. Suleiman, Parallel r-point implicit block method for solving higher order ordinary differential equations directly, Journal of ICT, 3(1), pp 53-66, 2004.

[6] N.H. Cong, K. Strehmel, R. Weiner, and H. Podhaisky, Runge-Kutta- Nystrom-type parallel block predictor-corrector methods. Advances in Computational Mathematics 10, pp 115-133, 1999.

[7] Z. A. Majid and M. Suleiman, Two point block direct integration implicit variable steps method for solving higher order systems of ordinary differential equations. International Conference of Applied and Engineering Mathematics. WCE (London). Proceeding of the World Congress on Engineering 2007, WCE 2007, Volume II, pp 812-815, 2007.

[8] Z. Omar, Developing parallel block methods for solving higher order odes directly, Ph.D. Thesis, University Putra Malaysia, Malaysia, 1999.

[9] Hairer.E., Norsett. S.P. and Wanner. G., Solving Ordinary Differential Equations I: Nonstiff Problems. Berlin: Springer-Verlag. pp 26, 1993.

[10] Cong, N.H., Podhaisky, H. and Weiner, R., Performance of explicit pseudo two-step RKN methods on a shared memory computer, 2001. (http://www.mathematik.uni-halle.de/reports/rep-num.html)