Collocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functions
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Publication:5420212
DOI10.1002/mma.2890zbMath1291.65213OpenAlexW2056129278MaRDI QIDQ5420212
Mehrdad Lakestani, Robabeh Mohammadzadeh, Mehdi Dehghan
Publication date: 11 June 2014
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2890
collocation methodnumerical examplesLane-Emden equationoperational matrix of integrationHermite splineoperational matrix of derivativecubic Hermite functions
Numerical computation using splines (65D07) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items (10)
A fourth-order B-spline collocation method and its error analysis for Bratu-type and Lane–Emden problems ⋮ Numerical solution of system of Emden-Fowler type equations by Bernstein collocation method ⋮ Optimal control of linear time‐delay systems by a hybrid of block‐pulse functions and biorthogonal cubic Hermite spline multiwavelets ⋮ Chebyshev wavelet method for numerical solutions of integro-differential form of Lane–Emden type differential equations ⋮ High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Non-optimal fourth-order and optimal sixth-order B-spline collocation methods for Lane-Emden boundary value problems ⋮ Solution of Lane-Emden type equations using rational Bernoulli functions ⋮ Derivative-orthogonal wavelets for discretizing constrained optimal control problems
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