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General boundary element method: an application of homotopy analysis method
Communications in Nonlinear Science and Numerical Simulation, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Derivation of the Adomian decomposition method using the homotopy analysis method
Applied Mathematics and Computation, 2007The solution of a nonlinear equation \( L(y(x)) + N(y(x)) = 0 \), where \(L\) and \(N\) are linear and nonlinear operators, respectively, is represented in the form \[ y =\sum_{n=0}^{\infty} y_{n} . \] The terms \(y_{n}\) can be calculated by recurrent relations using the decomposition \[ N(y)=\sum_{n=0}^{\infty} A_{n}, \] where \(A_{n}\) are the ...
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Basic Ideas of the Homotopy Analysis Method
2012The basic ideas and all fundamental concepts of the homotopy analysis method (HAM) are described in details by means of two simple examples, including the concept of the homotopy, the flexibility of constructing equations for continuous variations, the way to guarantee convergence of solution series, the essence of the convergence-control parameter c 0,
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Homotopy analysis method for quadratic Riccati differential equation
Communications in Nonlinear Science and Numerical Simulation, 2008Saeid Abbasbandy
exaly
The application of homotopy analysis method to nonlinear equations arising in heat transfer
Physics Letters, Section A: General, Atomic and Solid State Physics, 2006Saeid Abbasbandy
exaly
Homotopy analysis method for heat radiation equations
International Communications in Heat and Mass Transfer, 2007Saeid Abbasbandy
exaly
A new spectral-homotopy analysis method for the MHD Jeffery–Hamel problem
Computers and Fluids, 2010Precious Sibanda +2 more
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Solution of nonlinear fractional differential equations using homotopy analysis method
Applied Mathematical Modelling, 2010Mehdi Ganjiani
exaly