An efficient method for solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions and error estimate

DOI10.1007/s10910-018-0912-7zbMath1415.65167OpenAlexW2799458986WikidataQ129899539 ScholiaQ129899539MaRDI QIDQ1734885

Yu-Feng Shang, Fuzhong Cong, Tian-Chu Hao

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/s10910-018-0912-7

zbMATH Keywords

approximate solutionserror estimateseries representationbase functionsBVPscoupled Lane-Emden equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (13)

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 ⋮ Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ Solving coupled Lane-Emden equations by Green's function and decomposition technique ⋮ Hybrid model for the optimal numerical solution of nonlinear ordinary differential systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A novel operational matrix for the numerical solution of nonlinear Lane-Emden system of fractional order ⋮ Taylor series solution for Lane-Emden equation ⋮ Existence and properties of solutions for boundary value problems based on the nonlinear reactor dynamics ⋮ Neuro-swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system ⋮ 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

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