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Variable order step size algorithm for solving second order ODEs


Rasedee, Ahmad Fadly Nurullah and Abdul Sathar, Mohamad Hassan and Wong, Tze Ji and Koo, Lee Feng (2019) Variable order step size algorithm for solving second order ODEs. In: Embracing Mathematical Diversity: Selected papers from Seminar on Mathematical Sciences 2019 (SOMS2019). UPM Press, Malaysia, 158 - 167. ISBN 9789672395089


Previous multi step method using a divided difference formulation for solving higher order ordinary differential equations (ODEs) requires calculating the integration co-efficients at every step. In the current research, a multi step method in backwards difference form is established. The backward difference formulation offers a solution to the tedious calculation of integration coefficients. Rather than calculating inte-gration coefficients at every step change, a backward difference formulation requires calculating integration coefficients only once in the beginning and if required once more at the end. The proposed method will also be equipped with a variable order step size algorithm to reduce computational cost (calculation time). Both linear and nonlinear second order ODEs will used to validate the accuracy and efficiency of the proposed method.

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Additional Metadata

Item Type: Book Section
Divisions: Faculty of Agriculture and Food Sciences
Centre of Foundation Studies for Agricultural Science
Publisher: UPM Press
Keywords: ODE; Backward difference; Multistep method
Depositing User: Azhar Abdul Rahman
Date Deposited: 03 Aug 2021 23:24
Last Modified: 03 Aug 2021 23:24
URI: http://psasir.upm.edu.my/id/eprint/79017
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