On a class of weakly regular singular two point boundary value problems—I

DOI10.1016/0362-546X(95)00006-HzbMath0853.34026OpenAlexW2056792813MaRDI QIDQ4886596

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Publication date: 15 August 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00006-h

zbMATH Keywords

existenceuniquenesseigenfunction expansionsingular two-point boundary value problemsmonotone iterative method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (16)

New approach for solving a class of singular boundary value problem arising in various physical models ⋮ On the convergence of finite difference methods for weakly regular singular boundary value problems ⋮ The numerical solution of nonlinear singular boundary value problems arising in physiology ⋮ A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems ⋮ Wavelet Galerkin method for solving nonlinear singular boundary value problems arising in physiology ⋮ On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology. ⋮ On the convergence of second-order finite difference method for weakly regular singular boundary value problems ⋮ Existence-uniqueness results for a class of singular boundary value problems. II ⋮ An effective scheme for solving a class of nonlinear doubly singular boundary value problems through quasilinearization approach ⋮ Spline solution of non-linear singular boundary value problems ⋮ Differential quadrature method (DQM) for a class of singular two-point boundary value problems ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ On the Convergence of Finite Difference Method for General Singular Boundary Value Problems ⋮ On the convergence of fourth-order finite difference method for weakly regular singular boundary value problems ⋮ On a constructive approach for derivative-dependent singular boundary value problems ⋮ Regions of existence for a class of nonlinear diffusion type problems

Cites Work

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• An application of Chawla's identity to a difference scheme for singular problems
• Spline finite difference methods for singular two point boundary value problems
• Non polynomial splines and weakly singular two-point boundary value problems
• Finite difference methods and their convergence for a class of singular two point boundary value problems
• A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Numerical methods of high-order accuracy for singular nonlinear boundary value problems
• A Uniform Mesh Finite Difference Method for a Class of Singular Two-Point Boundary Value Problems

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