A fast-converging iterative scheme for solving a system of Lane-Emden equations arising in catalytic diffusion reactions
From MaRDI portal
Publication:2419176
DOI10.1007/s10910-018-0964-8zbMath1414.92236OpenAlexW2898370603WikidataQ129030100 ScholiaQ129030100MaRDI QIDQ2419176
Publication date: 29 May 2019
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-018-0964-8
iterative schememodified Adomian decomposition methodfast-converging schemeoptimized homotopy analysis methodsystem of Lane-Emden boundary value problems
Classical flows, reactions, etc. in chemistry (92E20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
Related Items
On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena ⋮ Differential transform method for the solutions to some initial value problems in chemistry ⋮ Numerical solution of system of Emden-Fowler type equations by Bernstein collocation method ⋮ The method based on series solution for identifying an unknown source coefficient on the temperature field in the quasiperiodic media ⋮ First order smooth composite Chebyshev finite difference method for solving coupled Lane-Emden problem in catalytic diffusion reactions ⋮ Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ An effective approach based on smooth composite Chebyshev finite difference method and its applications to Bratu-type and higher order Lane-Emden problems ⋮ Unnamed Item ⋮ An efficient numerical approach for solving a general class of nonlinear singular boundary value problems ⋮ A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems ⋮ Taylor series solution for Lane-Emden equation ⋮ Existence and properties of solutions for boundary value problems based on the nonlinear reactor dynamics ⋮ Bernoulli wavelets functional matrix technique for a system of nonlinear singular Lane Emden equations ⋮ Numerical algorithm for solution of the system of Emden-Fowler type equations ⋮ A fast numerical scheme for solving singular boundary value problems arising in various physical models
Cites Work
- An effective computational technique for a class of Lane-Emden equations
- New approach for solving a class of singular boundary value problem arising in various physical models
- An efficient numerical technique for the solution of nonlinear singular boundary value problems
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems
- Noether, partial Noether operators and first integrals for the coupled Lane-Emden system
- A high-order \(B\)-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science
- A priori estimates for a semilinear elliptic system without variational structure and their applications
- A new numerical approach for solving a class of singular two-point boundary value problems
- Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method
- A study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method
- A fast and accurate computational technique for efficient numerical solution of nonlinear singular boundary value problems