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Development of the hybrid method to solve boundary values problems in Ordinary Differential equations

Basheer Al-Hayali et al · University of Mosul, College of Education for Pure Science · 2007

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Author / responsible party
Basheer Al-Hayali et al
Publisher
University of Mosul, College of Education for Pure Science
Year
2007
ISSN
1812-125X
ISSN
1812-125X
Language
English
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Abstract<br /> The purpose of this research is the development of a Hybrid Technique for solving Boundary Value Problems (BVPs) linear & non-linear in Ordinary Differential Equations (ODEs).<br /> We display the hybrid method by using backward integration. In addition, we study the application of the hybrid method for solving BVPs with derivative boundary conditions. We used the hybrid method for solving BVPs from order third and fourth. And we ended discussion the results of the hybrid method by:<br /> <br /> 1 –Increasing the number of estimations for the unknown boundary condition.<br /> 2 -Decreasing the step size of the integration.<br /> 3 -Using accurate interpolation formulae.<br /> 4 -Using higher order integration methods.<br /> Finally, we studied the stability and error control of the hybrid method.

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APA 7

al, B. A. H. E. (2007). Development of the hybrid method to solve boundary values problems in Ordinary Differential equations. https://doi.org/10.33899/edusj.2007.51331

MLA

al, Basheer Al-Hayali et. "Development of the hybrid method to solve boundary values problems in Ordinary Differential equations." 2007. https://doi.org/10.33899/edusj.2007.51331.

Chicago

al, Basheer Al-Hayali et. 2007. "Development of the hybrid method to solve boundary values problems in Ordinary Differential equations.". https://doi.org/10.33899/edusj.2007.51331.

Harvard

al, B. A. H. E. 2007, Development of the hybrid method to solve boundary values problems in Ordinary Differential equations, University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2007.51331 [Accessed 6 Aug. 2026].

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Title
Development of the hybrid method to solve boundary values problems in Ordinary Differential equations
Author / contributors
Basheer Al-Hayali et al
Publisher
University of Mosul, College of Education for Pure Science
Publication year
2007
ISSN
1812-125X
ISSN
1812-125X
Language
English

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boundary value problems; ordinary differential equations
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