A new modification of false position method based on homotopy analysis method
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Publication:940552
DOI10.1007/S10483-008-0209-ZzbMath1231.65084OpenAlexW2043430598MaRDI QIDQ940552
Shi-Jun Liao, Saeid Abbasbandy
Publication date: 1 September 2008
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-008-0209-z
Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical computation of solutions to single equations (65H05)
Related Items (7)
Unnamed Item ⋮ A New Root–Finding Algorithm Using Exponential Series ⋮ A new trigonometrical algorithm for computing real root of non-linear transcendental equations ⋮ Numerical solution of the generalized Zakharov equation by homotopy analysis method ⋮ The homotopy analysis method to solve the modified equal width wave equation ⋮ Solution of fully developed free convection of a micropolar fluid in a vertical channel by homotopy analysis method ⋮ Direct solution of \(n\)th-order IVPs by homotopy analysis method
Cites Work
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- Explicit analytic solution for similarity boundary layer equations.
- A modified formula of ancient Chinese algorithm by the homotopy continuation technique
- An approximate solution technique not depending on small parameters: A special example
- Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method
- Comparison between the homotopy analysis method and homotopy perturbation method
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