Mudassir Shams1, Nasreen Kausar2, Ebru Ozbilge3,*, Alper Bulut3
Computer Systems Science and Engineering, Vol.45, No.3, pp. 2617-2633, 2023, DOI:10.32604/csse.2023.034370
Abstract Engineering and applied mathematics disciplines that involve differential equations in general, and initial value problems in particular, include classical mechanics, thermodynamics, electromagnetism, and the general theory of relativity. A reliable, stable, efficient, and consistent numerical scheme is frequently required for modelling and simulation of a wide range of real-world problems using differential equations. In this study, the tangent slope is assumed to be the contra-harmonic mean, in which the arithmetic mean is used as a correction instead of Euler’s method to improve the efficiency of the improved Euler’s technique for solving ordinary differential equations with initial conditions. The stability, consistency,… More >
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