Application of single step with three generalized hybrid points block method for solving third order ordinary differential equations

Volume 9, Issue 5, pp 2705--2717 http://dx.doi.org/10.22436/jnsa.009.05.67

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Authors

Zurni Omar - Department of Mathematics, School of Quantitative Sciences, College of Art and Sciences, Univeristi Utara Malaysia, Malaysia. Rafat Abdelrahim - Department of Mathematics, School of Quantitative Sciences, College of Art and Sciences, Univeristi Utara Malaysia, Malaysia.

Abstract

This article considers the implementation of one step hybrid block method, three generalized hybrid points developed in collocation interpolation approach. The basic numerical properties of the hybrid block method was established and found to be convergent. The efficiency of the new method was confirmed on some initial value problems and found to give better approximation than the existing methods in term of error.

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Keywords

• Hybrid method
• block method
• third order differential equation
• single step
• three generalized off step points.

MSC

•  65L05
•  65L06
•  65L20

References

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