Open Access

ARTICLE

Analytical solution to fractional differential equation arising in thermodynamics

Areej Almuneef¹, Ahmed Eissa Hagag²

1 Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Saudi Arabia
2 Department of Basic Science, Faculty of Engineering, Sinai University, Ismailia, Egypt

* Corresponding Authors: Areej Almuneef (), Ahmed Eissa Hagag ()

Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 2023, 39(4), 1-8. https://doi.org/10.23967/j.rimni.2024.01.001

Received 22 June 2023; Accepted 21 December 2023; Issue published 29 December 2023

Abstract

The analysis of nonlinear events related to physical phenomena is a popular issue in the modern-day. The essential purpose of this work is to discover a novel approximate solution to the fractional nonlinear Benjamin Bona Mahony Peregrine Burgers equation (BBMPB) utilizing the natural decomposition method (NDM) of fractional order. The suggested approach provides analytical solutions that are extremely near to the exact solution whereas obviating the complexities associated with many other approaches. The expected issue’s uniqueness theorem and convergence analysis are explored using Banach’s fixed-point theory. The reliability and accuracy of the recommended method were tested using numerical simulations. The graphs and tables reflect the results. The comparison of the suggested scheme’s solution with the exact solutions demonstrates that the scheme is efficient, methodical, and extremely exact in tackling nonlinear complicated phenomena.

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Keywords

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