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2014•Journal of Soft Computing and ApplicationsOpen access

2-Point Block BDF Method with Off-Step Points for Solving Stiff ODEs

Naghmeh Abasi, Mohamed Hammad Adam Suleiman, Neda Abbasi, Hamisu Musa

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Abstract

In this paper, 2-point block method with two off-step points based on Backward Differentiation Formula (BDF) for solving stiff ODEs is formulated. The strategy of the developed method is to calculate two solution values of the method with two off-step points simultaneously at each iteration. Stability region and convergence of the method are also generated. The numerical results obtained are compared with the fifth order 2-point block BDF method to compare the enhancement of the method in terms of accuracy.

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What this paper is about

In this paper, 2-point block method with two off-step points based on Backward Differentiation Formula (BDF) for solving stiff ODEs is formulated. The strategy of the developed method is to calculate two solution values of the method with two off-step points simultaneously at each iteration. Stability region and convergence of the method are also generated. The numerical results obtained are compared with the fifth order 2-point block BDF method to compare the enhancement of the method in terms of accuracy.

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Available abstract

In this paper, 2-point block method with two off-step points based on Backward Differentiation Formula (BDF) for solving stiff ODEs is formulated. The strategy of the developed method is to calculate two solution values of the method with two off-step points simultaneously at each iteration. Stability region and convergence of the method are also generated. The numerical results obtained are compared with the fifth order 2-point block BDF method to compare the enhancement of the method in terms of accuracy.

Key concepts: Ode, Mathematics, Block (permutation group theory), Backward differentiation formula, Convergence (economics), Stability (learning theory), Point (geometry), Applied mathematics

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