A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE

DOI10.11948/2017059zbMath1474.65254OpenAlexW2617541147MaRDI QIDQ5149614

Ghulam Mustafa, Syeda Tehmina Ejaz

Publication date: 11 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017059

zbMATH Keywords

collocation methodordinary differential equationsubdivision schemesboundary value problemsingularly perturbed

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

The refinement-schemes-based unified algorithms for certain \(n\)th order linear and nonlinear differential equations with a set of constraints ⋮ Family of odd point non-stationary subdivision schemes and their applications ⋮ A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• A subdivision based iterative collocation algorithm for nonlinear third-order boundary value problems
• A computational method for self-adjoint singular perturbation problems using quintic spline
• A collocation method for solving a class of singular nonlinear two-point boundary value problems
• Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems
• Numerical solution of two-point boundary value problems by interpolating subdivision schemes
• Fitted mesh \(B\)-spline collocation method for solving self-adjoint singularly perturbed boundary value problems
• Numerical solution of singularly perturbed two-point boundary value problems by spline in tension
• A fourth-order finite difference method for a class of singular two-point boundary value problems.
• A spline method for second-order singularly perturbed boundary-value problems
• A computational method for solving third-order singularly perturbed boundary-value problems
• Uniformly convergent nonstandard finite difference methods for self-adjoint singular perturbation problems
• Stationary binary subdivision schemes using radial basis function interpolation
• Solving two point boundary value problems by interpolatory subdivision algorithms
• Quartic spline solution of a third order singularly perturbed boundary value problem
• An iterative scheme for solving nonlinear two point boundary value problems
• Tension spline method for second-order singularly perturbed boundary-value problems
• Singular perturbation of a boundary value problem for quasilinear third-order ordinary differential equations involving two small parameters

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