Linearization techniques for singular initial-value problems of ordinary differential equations

From MaRDI portal
Publication:1763316

DOI10.1016/j.amc.2003.12.047zbMath1061.65061OpenAlexW2162720776MaRDI QIDQ1763316

Juan I. Ramos

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.047




Related Items

A new tau method for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiationMethod for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methodsMatrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equationsPiecewise-linearized methods for single degree-of-freedom problemsLS-SVM approximate solution for affine nonlinear systems with partially unknown functionsSolutions of a class of singular second-order IVPs by homotopy-perturbation methodAN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMSPiecewise homotopy methods for nonlinear ordinary differential equationsThe solution of high-order nonlinear ordinary differential equations by Chebyshev seriesA Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equationsA nonclassical Radau collocation method for nonlinear initial-value problems with applications to Lane-Emden type equationsHybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equationsVariational iteration method for solving a nonlinear system of second-order boundary value problemsAn approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation methodCollocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functionsUnnamed ItemHomotopy analysis method for singular IVPs of Emden-Fowler typeA robust numerical algorithm for solving singular boundary value problems in one space dimension by B-spline methodNumerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis functionSolution of Lane-Emden type equations using rational Bernoulli functionsSolutions of Emden-Fowler equations by homotopy-perturbation methodFurther developments to the decomposition method for solving singular initial-value problemsApproximate solution of singular IVPs of Lane-Emden type and error estimation via advanced Adomian decomposition methodRational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden typeThe approximate solution of high-order nonlinear ordinary differential equations by improved collocation method with terms of shifted Chebyshev polynomialsA solution to the Lane-Emden equation in the theory of stellar structure utilizing the Tau methodExponentially-fitted methods on layer-adapted meshesEquivalence of \(C^0\) and \(C^1\) methods for ODE's



Cites Work