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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

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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