1. Homotopy analysis method for solving fractional Lorenz system
- Author
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Alomari, A.K., Noorani, M.S.M., Nazar, R., and Li, C.P.
- Subjects
- *
HOMOTOPY theory , *FRACTIONAL calculus , *NUMERICAL solutions to differential equations , *ALGORITHMS , *STOCHASTIC convergence - Abstract
Abstract: In this paper, a new reliable algorithm called the step homotopy analysis method (SHAM) based on an adaptation of the standard homotopy-analysis method (HAM) is presented to solve the fractional Lorenz system. This modified method yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The accuracy of the present solution is found to be in excellent agreement with previously published solution. [Copyright &y& Elsevier]
- Published
- 2010
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