On the relationship between the homotopy analysis method and Euler transform
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Publication:718250
DOI10.1016/j.cnsns.2009.06.008zbMath1221.65206OpenAlexW2006039434MaRDI QIDQ718250
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.06.008
Theoretical approximation of solutions to ordinary differential equations (34A45) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Numerical methods for ordinary differential equations (65L99)
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Cites Work
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- Exact flow of a third grade fluid past a porous plate using homotopy analysis method
- On the analytic solutions of the nonhomogeneous Blasius problem
- Applying homotopy analysis method for solving differential-difference equation
- Notes on the homotopy analysis method: some definitions and theorems
- Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
- Rotating flow of a third-grade fluid in a porous space with Hall current
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- The application of homotopy analysis method to nonlinear equations arising in heat transfer
- A new branch of solutions of boundary-layer flows over an impermeable stretched plate
- Historical evolution of the concept of homotopic paths
- Nonlinear stochastic differential equations
- Asymptotic approaches in nonlinear dynamics. New trends and applications
- A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
- Homotopy analysis of nonlinear progressive waves in deep water
- On the homotopy analysis method for nonlinear problems.
- Homotopy solutions for a generalized second-grade fluid past a porous plate
- Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
- An exact and explicit solution for the valuation of American put options
- Euler Transformations
- A review of the decomposition method and some recent results for nonlinear equations