Metode Runge-Kutta Orde Tiga Berdasarkan Kombinasi Konveks Dari Rata-Rata Lehmer

This thesis presents a modi_cation of the third-order Runge-Kutta method based on the convex combination of the Lehmer mean, and its local truncation error. Stability analysis of the proposed methods show that the stability areas of the discussed method are the same as the stability area of the third order Runge Kutta method based on the arithmetic mean. Then the discussed methods are applied t…