Incorporating Fuzziness in the Traditional Runge–Kutta Cash–Karp Method and Its Applications to Solve Autonomous and Non-Autonomous Fuzzy Differential Equations

نویسندگان

چکیده

The study of the fuzzy differential equation is a topic that researchers are interested in these days. By modelling, this can be used to resolve issues real world. However, finding an analytical solution challenging. Thus, aims present fuzziness traditional Runge–Kutta Cash–Karp fourth-order method solve first-order equation. Later, referred as method. There two types equations solved: autonomous and non-autonomous equations. This divided into (i) (ii)–differentiability on basis characterization theorem. convergence analysis also presented. implementing method, approximate compared with numerical solutions obtained from results demonstrated proposed accurate solution, when

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10244659