Block hybrid collocation method for higher order ordinary differential equations

Ling, Ning Wei (2022) Block hybrid collocation method for higher order ordinary differential equations. Master dissertation/thesis, UTAR.

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Abstract

Five step block hybrid collocation method consist of two off-step points was proposed in this project for direct solution of third order initial value problems of ordinary differential equations. Collocation and interpolation approaches was used to derive the main and additional methods and combine all methods into block form to approximate the solution at the main points and the off-step points simultaneously. The order and stability properties of the method were analysed. Some test problems were used to test the performance of accuracy of the method by compared to existing methods. The method applied to solve the thin film flow problem and compare the result with the existing methods.

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