1. Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method.
- Author
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Alhamzi, Ghaliah, Prasad, J. G., Alkahtani, B. S. T., Dubey, R. S., Abarzhi, Snezhana I., Qureshi, Sania, Baskonus, Haci Mehmet, Goswami, Pranay, and Saadeh, Rania
- Subjects
BURGERS' equation ,NONLINEAR differential equations ,DECOMPOSITION method ,PARTIAL differential equations ,NONLINEAR equations ,FRACTIONAL calculus - Abstract
This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the Elzaki transform with the Adomian decomposition method. This combination has proven to be a highly effective strategy for addressing non-linear partial differential equations within the local fractional context, which finds numerous practical applications. The proposed method offers a systematic and easily understandable procedure for tackling both linear and non-linear partial differential equations (PDEs). It provides an easy-to-follow path to solve these problems. We offer a real-world example that exhibits the method's successful use in resolving issues to corroborate its efficacy. The obtained solution is visually represented to illustrate the practical utility of this approach. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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