Optimal homotopy analysis method for the non-isothermal reaction-diffusion model equations in a spherical catalyst

DOI10.1007/s10910-018-0911-8zbMath1410.92182OpenAlexW2801496444MaRDI QIDQ1734874

Randhir Singh

Publication date: 27 March 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-018-0911-8

zbMATH Keywords

singular boundary value problemsLane-Emden equationMichaelis-Menten kineticsoptimal homotopy analysis methodspherical biocatalystspherical catalyst

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (12)

On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena ⋮ Numerical solution of system of Emden-Fowler type equations by Bernstein collocation method ⋮ First order smooth composite Chebyshev finite difference method for solving coupled Lane-Emden problem in catalytic diffusion reactions ⋮ An efficient method for solving the generalized Thomas-Fermi and Lane-Emden-Fowler type equations with nonlocal integral type boundary conditions ⋮ An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics ⋮ An efficient technique based on the HAM with Green's function for a class of nonlocal elliptic boundary value problems ⋮ Solving coupled Lane-Emden equations by Green's function and decomposition technique ⋮ An iterative technique for solving a class of local and nonlocal elliptic boundary value problems ⋮ Static analysis of composite beams on variable stiffness elastic foundations by the homotopy analysis method ⋮ An effective method for solving singular boundary value problems with some relevant physical applications ⋮ Computational method for reaction diffusion-model arising in a spherical catalyst ⋮ Numerical algorithm for solution of the system of Emden-Fowler type equations

Uses Software

• BVPh

Cites Work

• Unnamed Item
• A modified homotopy perturbation method for singular time dependent Emden-Fowler equations with boundary conditions
• An algorithm based on the variational iteration technique for the Bratu-type and the Lane-Emden problems
• An efficient numerical technique for the solution of nonlinear singular boundary value problems
• He's variational iteration method for treating nonlinear singular boundary value problems
• Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method
• Pointwise bounds for a nonlinear heat conduction model of the human head
• An approximate solution technique not depending on small parameters: A special example
• Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method
• Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method
• Numerical solution of singular boundary value problems using Green's function and improved decomposition method
• The Adomian decomposition method with Green's function for solving nonlinear singular boundary value problems
• Homotopy Analysis Method in Nonlinear Differential Equations
• Beyond Perturbation
• An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models
• A General Approach to Obtain Series Solutions of Nonlinear Differential Equations
• Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane‐Emden equations of the first and second kinds

This page was built for publication: Optimal homotopy analysis method for the non-isothermal reaction-diffusion model equations in a spherical catalyst