A NEWLY MODIFIED VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS
2013 ◽
Vol 10
(05)
◽
pp. 1350029
Keyword(s):
This paper presents a new reliable modification of the variational iteration method (MoVIM). An enlarged interval of convergence region of series solutions is obtained by inserting a nonzero auxiliary parameter (ℏ) into the correction functional of variational iteration method. Approximate analytical solutions for some examples of nonlinear problems are obtained using variational iteration method. Comparison with the exact solution, Runge–Kutta method 4, and also another modified variational iteration method has shown that MoVIM is an accurate method for solving nonlinear problems.
2013 ◽
Vol 16
(1)
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2010 ◽
Vol 59
(8)
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pp. 2473-2477
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2007 ◽
Vol 207
(1)
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pp. 137-147
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2020 ◽
Vol 42
(4)
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2008 ◽
Vol 31
(1-2)
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pp. 165-175
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2016 ◽
Vol 40
(17-18)
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pp. 7988-7995
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2008 ◽
Vol 199
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pp. 39-69
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