A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function

DOI10.1080/00207160.2021.1900566zbMath1480.65191OpenAlexW3134266371MaRDI QIDQ5033396

Bin Lin

Publication date: 22 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1900566

zbMATH Keywords

stabilityconvergenceerror analysisquintic B-splinesingular Emden-Fowler problem

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem ⋮ Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation ⋮ Numerical solution of third order singular boundary value problems with nonclassical SE-sinc-collocation and nonclassical DE-sinc-collocation ⋮ Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques ⋮ Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods ⋮ A new approach based on shifted Vieta-Fibonacci-quasilinearization technique and its convergence analysis for nonlinear third-order Emden-Fowler equation with multi-singularity

Cites Work

• Non-polynomial quintic spline solution for the system of third order boundary-value problems
• B-spline collocation for solution of two-point boundary value problems
• Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method
• A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations
• The numerical solution of third-order boundary-value problems using quintic splines
• New cubic B-spline approximation for solving third order Emden-Flower type equations
• Spectral methods for some singularly perturbed third order ordinary differential equations
• NUMERICAL SOLUTION FOR THE NONLINEAR EMDEN–FOWLER TYPE EQUATIONS BY A FOURTH-ORDER ADAPTIVE METHOD
• Quartic spline solution of a third order singularly perturbed boundary value problem
• The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
• An Alternative Solution Algorithm for the Nonlinear Generalized Emden-Fowler Equation
• Parametric quintic spline solution of third-order boundary value problems
• The use of cubic splines in the solution of two-point boundary value problems

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