A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems

DOI10.1080/00207160.2022.2065632OpenAlexW4223511495MaRDI QIDQ5044143

V. M. K. Prasad Goura, Pradip Roul, Ravi P. Agarwal

Publication date: 24 October 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2022.2065632

zbMATH Keywords

convergence analysisboundary value problemB-spline functionfourth-order accuracyshallow membrane cap problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (1)

Solving singular boundary value problems using higher-order compact finite difference schemes with a novel higher-order implementation of Robin boundary conditions

Cites Work

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• He's variational iteration method for treating nonlinear singular boundary value problems
• A novel approach for the solution of a class of singular boundary value problems arising in physiology
• A unified approach to singular problems arising in the membrane theory
• B-spline solution of non-linear singular boundary value problems arising in physiology
• Homotopy analysis method applied to electrohydrodynamic flow
• A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems
• A practical guide to splines
• A collocation method for solving a class of singular nonlinear two-point boundary value problems
• Nonlinear boundary value problems for shallow membrane caps. II
• A new iterative algorithm for a strongly nonlinear singular boundary value problem
• B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
• A mixed decomposition-spline approach for the numerical solution of a class of singular boundary value problems
• A new numerical approach for solving a class of singular two-point boundary value problems
• The Adomian decomposition method with Green's function for solving nonlinear singular boundary value problems
• Differential quadrature method (DQM) for a class of singular two-point boundary value problems
• Linear dependence relations for polynomial splines at midknots
• Doubly singular boundary value problems with derivative dependent source function: A fast‐converging iterative approach
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions

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