A subdivision based iterative collocation algorithm for nonlinear third-order boundary value problems

DOI10.1155/2016/5026504zbMath1416.65229OpenAlexW2409628188WikidataQ59122513 ScholiaQ59122513MaRDI QIDQ310403

Syeda Tehmina Ejaz, Ghulam Mustafa

Publication date: 8 September 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/5026504

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

The refinement-schemes-based unified algorithms for certain \(n\)th order linear and nonlinear differential equations with a set of constraints ⋮ Subdivision collocation method for one-dimensional Bratu's problem ⋮ A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE ⋮ A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems

Cites Work

• Numerical investigation of a third-order ODE from thin film flow
• A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
• The inverse of banded matrices
• New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method
• Symmetric iterative interpolation processes
• The third-order differential equation arising in thin-film flows and relevant to Tanner's law
• 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
• Solving two point boundary value problems by interpolatory subdivision algorithms
• The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
• An iterative scheme for solving nonlinear two point boundary value problems
• A unified interpolatory subdivision scheme for quadrilateral meshes

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