On the homotopy analysis method for solving a particle transport equation

DOI10.1016/J.APM.2012.08.023zbMath1272.65102OpenAlexW1982479474MaRDI QIDQ358046

Olga Martin

Publication date: 15 August 2013

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0307904X12004970

zbMATH Keywords

algorithmnumerical examplenumerical integrationerror boundsintegro-differential equationhomotopy analysis methodneutron transport equationradiative transfer problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Nuclear reactor theory; neutron transport (82D75)

Related Items (7)

An improved optimal homotopy analysis algorithm for nonlinear differential equations ⋮ Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic ⋮ Numerical solution of fractional order Fredholm integro-differential equations by spectral method with fractional basis functions ⋮ On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations ⋮ Existence of an interior path leading to the solution point of a class of fixed point problems ⋮ A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems ⋮ An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials

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