Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques

DOI10.1016/j.cnsns.2021.106069zbMath1476.65145OpenAlexW3205666623MaRDI QIDQ2060634

M. A. Rufai, Higinio Ramos

Publication date: 13 December 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106069

zbMATH Keywords

convergence analysishybrid block methodEmden-Fowler type equationssingular boundary-value problems

Mathematics Subject Classification ID

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)

Related Items (6)

Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem ⋮ A new one-step method with three intermediate points in a variable step-size mode for stiff differential systems ⋮ An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane-Emden-Fowler type ⋮ An effective method for solving singular boundary value problems with some relevant physical applications ⋮ 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

• The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models
• A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations
• A new tension B-spline method for third-order self-adjoint singularly perturbed boundary value problems
• Higher order Emden-Fowler type equations via uniform Haar wavelet resolution technique
• Numerical solution of Bratu's and related problems using a third derivative hybrid block method
• Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden-Fowler equations with initial and boundary conditions
• New cubic B-spline approximation for solving third order Emden-Flower type equations
• Spectral methods for some singularly perturbed third order ordinary differential equations
• An Alternative Solution Algorithm for the Nonlinear Generalized Emden-Fowler Equation
• A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems
• A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function

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