Mean Square Solutions of Second-Order Random Differential Equations by Using Homotopy Analysis Method
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Abstract
In this paper, the Homotopy Analysis Method (HAM) is successfully applied for solving second-order random differential equations, homogeneous or inhomogeneous. Expectation and variance of the approximate solutions are computed. Several numerical examples are presented to show the ability and efficiency of this method.
Description
Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; , Alireza/0000-0002-3490-7976
Keywords
Random Differential Equations, Stochastic Differential Equation, Homotopy Analysis Method, Uniform Random Variable And Beta Random Variable
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Golmankhaneh, Alireza K.; Porghoveh, Neda A.; Baleanu, D. "Mean Square Solutıons of Second-Order Random Differential Equatıons By Using Homotopy Analysis Method", Romanian Reports In Physics, Vol. 65, No. 2, pp..350,361, (2013)
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Volume
65
Issue
2
Start Page
350
End Page
361
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53
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Web of Science™ Citations
48
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8
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