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Solution of parabolic integro‐differential equations arising in heat conduction in materials with memory via He's variational iteration technique
Author(s) -
Dehghan Mehdi,
Shakeri Fatemeh
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1166
Subject(s) - lagrange multiplier , mathematics , differential equation , multiplier (economics) , work (physics) , reliability (semiconductor) , stability (learning theory) , simplicity , mathematical analysis , mathematical optimization , computer science , physics , engineering , mechanical engineering , machine learning , economics , macroeconomics , power (physics) , quantum mechanics
In this work, we present the solution of some parabolic integro‐differential equations, which naturally arise in many applications. He's variational iteration method is implemented to give the solution for this equation. This technique is based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the equation. Application of variational iteration technique to this problem shows that it performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. Copyright © 2008 John Wiley & Sons, Ltd.