Derivation of Block Methods for Solving Second Order Ordinary Differential Equations Directly using Direct Integration and Collocation Approaches

Z  Omar  and J  O  Kuboye

doi:10.17485/ijst/2015/v8i12/70646

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Derivation of Block Methods for Solving Second Order Ordinary Differential Equations Directly using Direct Integration and Collocation Approaches

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i12/70646

Year: 2015, Volume: 8, Issue: 12, Pages: 1-4

Original Article

Derivation of Block Methods for Solving Second Order Ordinary Differential Equations Directly using Direct Integration and Collocation Approaches

Z. Omar^* and J. O. Kuboye

School of Quantitative Sciences, College of Art and Sciences, Universiti Utara Malaysia, Sintok, 06010, Malaysia; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

This paper presents two block methods for solving second order ordinary differential equations directly. These two methods are capable of computing the numerical solutions at several points simultaneously. In deriving these methods, two techniques are employed namely direct integration and collocation approach. The advantages and drawbacks of each method are also discussed.

Keywords: Block Method, Collocation, Direct Integration, Direct Method, Initial Value Problems, Ordinary Differential Equations