TY - JOUR AU - Kashkari, Bothayna S. H. AU - Alqarni, Sadeem PY - 2019 TI - Optimization of two-step block method with three hybrid points for solving third order initial value problems JO - Journal of Nonlinear Sciences and Applications SP - 450--469 VL - 12 IS - 7 AB - An optimized two-step hybrid block method for the numerical solution of third-order initial value problems is presented. The method takes into regard three hybrid points which are selected suitably to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with sixth algebraic order. Some numerical examples are debated to demonstrate the efficiency and the accuracy of the proposed method. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.07.04 DO - 10.22436/jnsa.012.07.04 ID - Kashkari2019 ER - TY - JOUR TI - Hybrid one step block method for the solution of third order initial value problems of ordinary differential equations AU - B. 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