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MACLAURIN SERIES METHOD FOR FRACTAL DIFFERENTIAL-DIFFERENCE MODELS ARISING IN COUPLED NONLINEAR OPTICAL WAVEGUIDES

Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia

https://doi.org/10.1142/S0218348X21500043Cited by:14 (Source: Crossref)

Abstract

Fractal Calculus is designed to reveal the study of waves. Most of the waves are very grim to model correctly. Fractal representation of waves helps to better understand complex wave phenomena. In this paper, a Maclaurin series method (MSM) is proposed to obtain the exact and approximate solutions of fractal nonlinear differential-difference models produced by coupled nonlinear optical waveguides. The method is very simple, easy to understand, and minimizes calculation compared to existing approximate methods.

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