Solution of the Second Order Ordinary Differential Equations Using Adomian Decomposition Method

Olayiwola, Morufu Oyedunsi; Adisa, Samuel Akinkunmi; Adegoke, Adebisi; Usman, M. A.; Ozoh, Patrick

doi:10.46939/j.sci.arts-21.3-a10

Cited by 1 publication

(1 citation statement)

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“…Natural phenomena have significant implications for applied mathematics, physics, and engineering; many of these physical phenomena are expressed as fractional order linear and nonlinear PDEs. Obtaining approximate or exact solutions to those PDEs is a constant problem that necessitates the development of novel methods for obtaining approximate or exact solutions [19][20][21][22][23][24]. Many areas of interest, such as chemical processes, chemistry, thermodynamics, bioinformatics, coral reefs, and engineering, use reaction-diffusion equations as a model for many evolution phenomena.…”

Section: Introductionmentioning

confidence: 99%

Computational Solution of Fractional Reaction Diffusion Equations via an Analytical Method

Noor

Ahmad

2022

J. Sci. Arts

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In science and technology, the phenomena of transportation are crucial. Advection and diffusion can occur in a wide range of applications. Distinct types of decay rates are feasible for different non-equilibrium systems over lengthy periods of time when it comes to diffusion. In engineering, biology, and ecology, the problems under study are used to represent spatial impacts. The fast Adomian decomposition method (FADM) is used to solve time fractional reaction diffusion equations, which are models of physical phenomena, in the current study. Caputo fractional derivative meaning applies to the specified time derivative. The results are in series form and correspond to the proposed fractional order problem. These models have a strong physical foundation, and their numerical treatments have significant theoretical and practical applications. The leaning of the rapid convergence of method-formulated sequences towards the appropriate solution is also graphically depicted. With less computational cost, this solution quickly converged to the exact solution.

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