A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems

DOI10.1080/00207160701431184zbMath1143.65063OpenAlexW2043917840MaRDI QIDQ3506254

I. F. Lashien, Mohamed A. Ramadan, Waheed K. Zahra

Publication date: 12 June 2008

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

Full work available at URL: https://doi.org/10.1080/00207160701431184

zbMATH Keywords

two-point boundary value problemfinite differencesixth order

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (11)

Collocation approach based on an extended cubic \(B\)-spline for a second-order Volterra partial integrodifferential equation ⋮ A fifth (six) order accurate, three-point compact finite difference scheme for the numerical solution of sixth order boundary value problems on geometric meshes ⋮ A new spline-in-tension method of \(\mathrm{O}(k^{2}+h^{4})\) based on off-step grid points for the solution of 1D quasi-linear hyperbolic partial differential equations in vector form ⋮ A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems ⋮ Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh ⋮ High order accuracy nonpolynomial spline solutions for \(2\mu \)th order two point boundary value problems ⋮ Efficient accurate numerical treatment of the modified Burgers’ equation ⋮ A simple efficient method for solving sixth-order nonlinear boundary value problems ⋮ Non‐polynomial spline method for the solution of the dissipative wave equation ⋮ Unnamed Item ⋮ An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems

Cites Work

• Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem
• Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
• A numerical method based on polynomial sextic spline functions for the solution of special fifth-order boundary-value problems
• Solution of sixth order boundary value problems using non-polynomial spline technique
• A family of numerical methods for the solution of high-order general initial value problems
• Spline solutions of linear eighth-order boundary-value problems
• Nonpolynomial spline approach to the solution of a system of second-order boundary-value problems
• Nonpolynomial spline approach to the solution of a system of third-order boundary-value problems
• Spline solutions of linear sixth-order boundary-value problems

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