Application of <i>q</i>-Calculus to the Solution of Partial <i>q</i>-Differential Equations

نویسندگان

چکیده

We introduce the concept of q-calculus in quantum geometry. This involves q-differential and q-integral operators. With these, we study basic rules governing as compared with classical Newton-Leibnitz calculus, obtain some important results. reduced transform method (RqDTM) for solving partial equations. The solution is computed form a convergent power series easily computable coefficients. help test examples, discover effectiveness performance proposed employing MathCAD 14 software computation. It turns out that when q = 1, coincides version given initial value problem. results demonstrate RqDTM approach quite efficient convenient.

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ژورنال

عنوان ژورنال: Applied mathematics

سال: 2021

ISSN: ['2152-7393', '2152-7385']

DOI: https://doi.org/10.4236/am.2021.128047