Picard iteration and Padé approximations for stiff fractional point kinetics equations

DOI10.1016/j.amc.2016.08.008zbMath1411.82051OpenAlexW2516355898MaRDI QIDQ1737137

A. A. Hemeda, Abdallah A. Nahla

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.008

zbMATH Keywords

Padé approximationsfractional calculusPicard iterationfractional point kinetics model

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Theoretical approximation of solutions to ordinary differential equations (34A45) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Numerical methods for initial value problems involving ordinary differential equations (65L05) Nuclear reactor theory; neutron transport (82D75) Fractional ordinary differential equations (34A08)

Related Items (4)

A Friendly Iterative Technique for Solving Nonlinear Integro-Differential and Systems of Nonlinear Integro-Differential Equations ⋮ STABILITY/INSTABILITY MAPS OF THE NEUTRON POINT KINETIC MODEL WITH CONFORMABLE AND CAPUTO DERIVATIVES ⋮ Existence and discrete approximation for optimization problems governed by fractional differential equations ⋮ Solution of the fractional form of unsteady squeezing flow through porous medium

Cites Work

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• A novel fractional technique for the modified point kinetics equations
• Picard's iterative method for nonlinear advection-reaction-diffusion equations
• \([3, 3\) Padé approximation method for solving space fractional Fokker-Planck equations]
• Picard iteration algorithm combined with Gauss-Seidel technique for initial value problems
• Generalization of the analytical inversion method for the solution of the point kinetics equations
• Solution of the point kinetics equations in the presence of Newtonian temperature feedback by Pad  approximations via the analytical inversion method
• Iterative methods for solving fractional gas dynamics and coupled Burgers' equations

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