Quest for Research Excellence on Computing, Mathematics and Statistics

Derivation of Four-Point Explicit Block Methods for Direct Solution of Initial Value Problems of Third Order Ordinary Differential Equations

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Z. Omar, J. O. Kuboye, and Y.A. Abdullah

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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.