Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods

DOI10.1016/j.cam.2022.114776zbMath1497.65108OpenAlexW4294877628MaRDI QIDQ2087493

Higinio Ramos, M. A. Rufai

Publication date: 21 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114776

zbMATH Keywords

hybrid block methodsingular initial value problemsstarting procedureLane-Emden-Fowler problemsvariable step size formulation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

An adaptive optimized Nyström method for second‐order IVPs ⋮ A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems ⋮ A new one-step method with three intermediate points in a variable step-size mode for stiff differential systems

Cites Work

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• Solutions of a class of singular second-order IVPs by homotopy-perturbation method
• A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations
• B-spline solution of singular boundary value problems
• A numerical approach for solving the high-order nonlinear singular Emden-Fowler type equations
• A high-order \(B\)-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science
• A generalization of the Lane-Emden equation.
• Higher order Emden-Fowler type equations via uniform Haar wavelet resolution technique
• A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems
• An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane-Emden-Fowler type
• Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques
• Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator
• Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model
• An efficient algorithm for numerical solution of fractional integro-differential equations via Haar wavelet
• A computational algorithm for the numerical solution of fractional order delay differential equations
• A note on integration of the Emden-Fowler equation
• Taylor series solution for Lane-Emden equation
• New cubic B-spline approximation for solving third order Emden-Flower type equations
• Cubic spline polynomial for non-linear singular two-point boundary value problems
• Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions
• NUMERICAL SOLUTION FOR THE NONLINEAR EMDEN–FOWLER TYPE EQUATIONS BY A FOURTH-ORDER ADAPTIVE METHOD
• A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function
• A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications
• An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems
• A new algorithm for solving differential equations of Lane-Emden type
• Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs

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