On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations

Article Engineering, Multidisciplinary

Comparative study on Fractional Isothermal Chemical Model

Khaled M. Saad

Summary: This article investigates a family of approximate solutions for the fractional isothermal chemical equation and applies two methods to construct numerical solutions. By comparing numerical solutions and computing absolute error for varying parameter values, the efficiency of the methods and their computationally favorable use for the numerical treatment of the model equations are confirmed.

ALEXANDRIA ENGINEERING JOURNAL (2021)

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Article Mathematics, Applied

Numerical simulation of the fractal-fractional reaction diffusion equations with general nonlinear

Khaled M. Saad et al.

Summary: This paper introduces a new approach using kernel operators derived from fractional order differential equations and examines the effect of fractal-fractional derivative orders and the order of nonlinear terms on numerical solutions of fractal-fractional reaction diffusion equations. The study demonstrates that iterative solutions based on different kernels are very close and exhibit excellent agreement with full numerical solutions.

AIMS MATHEMATICS (2021)

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Article Physics, Multidisciplinary