Solution of Higher-Order ODEs Using Backward Difference Method

Mohamed Bin Suleiman, Zarina Bibi Binti Ibrahim and Ahmad Fadly Nurullah Bin Rasedee

Mathematical Problems in Engineering, 2011, vol. 2011, 1-18

Abstract:

The current numerical technique for solving a system of higher-order ordinary differential equations (ODEs) is to reduce it to a system of first-order equations then solving it using first-order ODE methods. Here, we propose a method to solve higher-order ODEs directly. The formulae will be derived in terms of backward difference in a constant stepsize formulation. The method developed will be validated by solving some higher-order ODEs directly with constant stepsize. To simplify the evaluations of the integration coefficients, we find the relationship between various orders. The result presented confirmed our hypothesis.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:810324

DOI: 10.1155/2011/810324

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