Series solution of fuzzy linear Cauchy reaction-diffusion equation by using homotopy perturbation method

In this study, Homotopy Perturbation Method (HPM) is proposed, analyzed and developed to solve the fuzzy linear Cauchy reaction-diffusion equation with the fuzzy initial condition. HPM allows for the solution of the fuzzy linear Cauchy reaction-diffusion problem be calculated in the form of series f...

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Bibliographic Details
Main Authors: Altaie, Sarmad A., Saaban, Azizan, Jameel, Ali F.
Format: Conference Proceeding
Language:English
Subjects:
Diffusion
Fuzzy set theory
Fuzzy sets
Perturbation methods
Reaction-diffusion equations
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Summary:In this study, Homotopy Perturbation Method (HPM) is proposed, analyzed and developed to solve the fuzzy linear Cauchy reaction-diffusion equation with the fuzzy initial condition. HPM allows for the solution of the fuzzy linear Cauchy reaction-diffusion problem be calculated in the form of series function in which the ingredient can be easily determined and it will be constructed and formulated by using the properties of fuzzy set theory. A numerical experiment is investigated to verify convergence results for comparative purpose with the analytical solution of the given problem to illustrate the efficacy and the capability of the proposed method.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5012155