Efficient Technique for Solving (3+1)-D Fourth-Order Parabolic PDEs with Time-Fractional Derivatives.

Ramadan A. ZeinEldin,Inderdeep Singh,Gurpreet Singh,Mohammed Elgarhy,Hamiden Abd Ei-Wahed Khalifa

Axioms（2023）

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摘要

In this presented research, a hybrid technique is proposed for solving fourth-order (3+1)-D parabolic PDEs with time-fractional derivatives. For this purpose, we utilized the Elzaki integral transform with the coupling of the homotopy perturbation method (HPM). From performing various numerical experiments, we observed that the presented scheme is simple and accurate with very small computational errors.

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关键词

partial differential equations, Elzaki integral transform, homotopy perturbation technique, (3+1)-D partial differential equations with time-fractional derivatives, numerical examples

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