This is the first of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. In this paper, cumulants are proved to coincide with morphisms of homotopy algebras.
Terilla, J +3 more
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A Log-linear Homotopy Approach to Initialize the Parameterized Expectations Algorithm [PDF]
In this paper I present a proposal to obtain appropriate initial conditions when solving general equilibrium rational expectations models with the Parameterized Expectations Algorithm.
Javier J. Pérez
core
In this chapter, the analytic solution of nonlinear partial differential equations arising in heat transfer is obtained using the newly developed analytic method, namely the Homotopy Analysis Method (HAM).
core +1 more source
Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations. [PDF]
Özpınar F.
europepmc +1 more source
A comment on Liao’s Homotopy analysis method
Liao’s Homotopy analysis method is discussed. The authors introduced the new approach on which they claim makes the calculation of Homotopy analysis method easy. The analytical solutions for non-linear reaction diffusion equations using Homotopy analysis
Ananthaswamy V, Rajendran L, Subha M
core
Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM).
D. Ziane, M. Hamdi Cherif
doaj
Analytical and numerical computations for bioconvective flow Maxwell nanofluid with variable thermal properties using homotopy analysis method and finite difference scheme. [PDF]
Alzahrani J.
europepmc +1 more source
Unveiling protoplanetary structure equations: Semi-analytical solutions via the homotopy analysis method. [PDF]
Chandra Paul G +5 more
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Energy landscapes and synergetic state transitions in frustrated Stuart-Landau oscillator networks: a homotopy continuation study. [PDF]
Li Y, Aihara K.
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