Two Reliable Computational Techniques for Solving the MRLW Equation

نویسندگان

چکیده

In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained using Sinc-collocation method. This approach approximates space dimension with cardinal expansion Sinc functions. First, discretizing time derivative MRLW by classic finite difference formula, while derivatives are approximated θ—weighted scheme. For comparison purposes, we also find soliton Adomian decomposition method (ADM). The was were found to be more accurate and efficient than ADM schemes. Furthermore, show that number solitons generated can Maxwellian initial condition. proposed methods’ results, analytical solutions, methods compared. Finally, variety graphical representations for solutions makes dynamics visible provides mathematical foundation physical engineering applications.

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ژورنال

عنوان ژورنال: Axioms

سال: 2023

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms12020174