The Homotopy Perturbation Method for Solving Some Types of Nonlocal Problems with Some Real Life Applications | Zendy

Ahlam J. Khaleel | Zendy

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The Homotopy Perturbation Method for Solving Some Types of Nonlocal Problems with Some Real Life Applications

Author(s) -

Ahlam J. Khaleel

Publication year - 2012

Publication title -

journal of al-nahrain university-science

Language(s) - English

Resource type - Journals

eISSN - 2519-0881

pISSN - 1814-5922

DOI - 10.22401/jnus.15.3.25

Subject(s) - homotopy analysis method , homotopy perturbation method , mathematics , perturbation (astronomy) , homotopy , mathematical analysis , partial differential equation , physics , pure mathematics , quantum mechanics

In this paper, we use the homotopy perturbation method for finding the solutions of the nonlocal problems that consist of the one-dimensional heat equation together with nonlocal conditions and the nonlocal problems that consist of the parabolic linear integro-differential equations together with nonlocal conditions. Also, some numerical examples are presented to explain the efficiency of this method. Moreover, some real life applications for the nonlocal problems are solved via this method.

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