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• W2019011402 abstract "Theory and applications of non-Newtonian calculus have been evolving rapidly over the recent years. As numerical methods have a wide range of applications in science and engineering, the idea of the design of such numerical methods based on non-Newtonian calculus is self-evident. In this paper, the well-known Runge-Kutta method for ordinary differential equations is developed in the frameworks of non-Newtonian calculus given in generalized form and then tested for different generating functions. The efficiency of the proposed non-Newtonian Euler and Runge-Kutta methods is exposed by examples, and the results are compared with the exact solutions." @default.
• W2019011402 created "2016-06-24" @default.
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• W2019011402 date "2015-01-01" @default.
• W2019011402 modified "2023-10-15" @default.
• W2019011402 title "Generalized Runge-Kutta Method with respect to the Non-Newtonian Calculus" @default.
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• W2019011402 doi "https://doi.org/10.1155/2015/594685" @default.
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