Derivation of four-point explicit block methods for direct solution of initial value problems of third order ordinary differential equations / Z. Omar, J.O. Kuboye and Y.A. Abdullah

Omar, Z. and Kuboye, J. O. and Abdullah, Y.A. (2015) Derivation of four-point explicit block methods for direct solution of initial value problems of third order ordinary differential equations / Z. Omar, J.O. Kuboye and Y.A. Abdullah. In: International Conference on Computing, Mathematics and Statistics (iCMS2015), 4-5 November 2015, Langkawi Lagoon Resort Langkawi Island, Kedah Malaysia.

Abstract

Two block methods for solving third order ordinary differential equations directly are presented. These methods are derived using two different approaches; direct integration and collocation. Both methods are capable of approximating the numerical solutions at four points simultaneously. The advantages and drawbacks of each method are also discussed.

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Item Type: Conference or Workshop Item (Paper)
Creators:
Creators
Email / ID Num.
Omar, Z.
zurni@uum.edu.my
Kuboye, J. O.
kubbysholly2007@yahoo.com
Abdullah, Y.A.
yahayaaliyuu@gmail.com
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > Equations
Divisions: Universiti Teknologi MARA, Kedah > Sg Petani Campus
Journal or Publication Title: International Conference on Computing, Mathematics and Statistics (iCMS2015)
Event Title: International Conference on Computing, Mathematics and Statistics (iCMS2015)
Event Dates: 4-5 November 2015
Page Range: pp. 163-174
Keywords: Explicit block method, direct integration, collocation, direct solution, initial value problems, ordinary differential equations
Date: 2015
URI: https://ir.uitm.edu.my/id/eprint/53910
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