THERMAL SCIENCE

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Guo-Cheng Wu

LAPLACE TRANSFORM OVERCOMING PRINCIPLE DRAWBACKS IN APPLICATION OF THE VARIATIONAL ITERATION METHOD TO FRACTIONAL HEAT EQUATIONS

ABSTRACT
This note presents a Laplace transform approach in the determination of the Lagrange multiplier when the variational iteration method is applied to time fractional heat diffusion equation. The presented approach is more straightforward and allows some simplification in application of the variational iteration method to fractional differential equations, thus improving the convergence of the successive iterations.
KEYWORDS
variational iteration methods, laplace transform, Lagrange multiplier, fractional heat diffusion equation
PAPER SUBMITTED: 2012-10-19
PAPER ACCEPTED: 2012-10-23
DOI REFERENCE: https://doi.org/10.2298/TSCI1204257W
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THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Issue 4, PAGES [1257 - 1261]
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Laplace transform overcoming principle drawbacks in application of the variational iteration method to fractional heat equations

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