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    ARTICLE

    Stable Computer Method for Solving Initial Value Problems with Engineering Applications

    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 - 21 December 2022

    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… More >

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