A new approach based on shifted Vieta-Fibonacci-quasilinearization technique and its convergence analysis for nonlinear third-order Emden-Fowler equation with multi-singularity

DOI10.1016/j.cnsns.2022.106912zbMath1502.65049OpenAlexW4300963217MaRDI QIDQ2108649

Yanyan Li

Publication date: 20 December 2022

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.2022.106912

zbMATH Keywords

convergence analysiscollocation methodnonlinear differential equationsquasilinearizationEmden-Fowler equationVieta-Fibonacci functions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Moduli of continuity of functions and solution of Emden-Fowler equation of third order and Chandrasekhar's white dwarf equation by Vieta-Fibonacci wavelet

Cites Work

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• A unified approach to singular problems arising in the membrane theory
• A simplified mathematical model of tumor growth
• Nonlinear boundary value problems for shallow membrane caps. II
• Higher order Emden-Fowler type equations via uniform Haar wavelet resolution technique
• A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit
• Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques
• A highly accurate and computationally efficient technique for solving the electrohydrodynamic flow in a circular cylindrical conduit
• Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations
• An efficient approximation technique applied to a non-linear Lane-Emden pantograph delay differential model
• New cubic B-spline approximation for solving third order Emden-Flower type equations
• The variational iteration method for solving systems of third-order Emden-Fowler type equations
• Calculation of Electrohydrodynamic Flow in a Circular Cylindrical Conduit
• A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function

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